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Finding the Fourth Proportional to 2,800.02, 3,863.04 and 1,665.42

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Solution

The fourth proportional to 2,800.02, 3,863.04 and 1,665.42 is: 2,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.02 : 3,863.04 = 1,665.42 : x
  2. Step 2: Convert to fraction form
    2,800.02/3,863.04 = 1,665.42/x
  3. Step 3: Cross multiply
    2,800.02x = 3,863.04 × 1,665.42
  4. Step 4: Simplify right side
    2,800.02x = 6,433,584.08
  5. Step 5: Solve for x
    x = 6,433,584.08/2,800.02
  6. Step 6: Final answer
    x = 2,297.69

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.