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Finding the Fourth Proportional to 3,443.46, 5,165.10 and 1,252.23

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Solution

The fourth proportional to 3,443.46, 5,165.10 and 1,252.23 is: 1,878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.46 : 5,165.10 = 1,252.23 : x
  2. Step 2: Convert to fraction form
    3,443.46/5,165.10 = 1,252.23/x
  3. Step 3: Cross multiply
    3,443.46x = 5,165.10 × 1,252.23
  4. Step 4: Simplify right side
    3,443.46x = 6,467,893.17
  5. Step 5: Solve for x
    x = 6,467,893.17/3,443.46
  6. Step 6: Final answer
    x = 1,878.31

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.