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Finding the Fourth Proportional to 2,583.71, 3,565.43 and 1,404.78

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Solution

The fourth proportional to 2,583.71, 3,565.43 and 1,404.78 is: 1,938.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.71 : 3,565.43 = 1,404.78 : x
  2. Step 2: Convert to fraction form
    2,583.71/3,565.43 = 1,404.78/x
  3. Step 3: Cross multiply
    2,583.71x = 3,565.43 × 1,404.78
  4. Step 4: Simplify right side
    2,583.71x = 5,008,651.10
  5. Step 5: Solve for x
    x = 5,008,651.10/2,583.71
  6. Step 6: Final answer
    x = 1,938.55

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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.