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Finding the Fourth Proportional to 1,572.64, 2,169.87 and 1,013.30

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Solution

The fourth proportional to 1,572.64, 2,169.87 and 1,013.30 is: 1,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.64 : 2,169.87 = 1,013.30 : x
  2. Step 2: Convert to fraction form
    1,572.64/2,169.87 = 1,013.30/x
  3. Step 3: Cross multiply
    1,572.64x = 2,169.87 × 1,013.30
  4. Step 4: Simplify right side
    1,572.64x = 2,198,729.27
  5. Step 5: Solve for x
    x = 2,198,729.27/1,572.64
  6. Step 6: Final answer
    x = 1,398.11

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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.