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Finding the Fourth Proportional to 2,295.49, 3,443.15 and 735.58

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Solution

The fourth proportional to 2,295.49, 3,443.15 and 735.58 is: 1,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.49 : 3,443.15 = 735.58 : x
  2. Step 2: Convert to fraction form
    2,295.49/3,443.15 = 735.58/x
  3. Step 3: Cross multiply
    2,295.49x = 3,443.15 × 735.58
  4. Step 4: Simplify right side
    2,295.49x = 2,532,712.28
  5. Step 5: Solve for x
    x = 2,532,712.28/2,295.49
  6. Step 6: Final answer
    x = 1,103.35

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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.