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Finding the Fourth Proportional to 2,566.86, 3,542.28 and 1,447.76

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Solution

The fourth proportional to 2,566.86, 3,542.28 and 1,447.76 is: 1,997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.86 : 3,542.28 = 1,447.76 : x
  2. Step 2: Convert to fraction form
    2,566.86/3,542.28 = 1,447.76/x
  3. Step 3: Cross multiply
    2,566.86x = 3,542.28 × 1,447.76
  4. Step 4: Simplify right side
    2,566.86x = 5,128,371.29
  5. Step 5: Solve for x
    x = 5,128,371.29/2,566.86
  6. Step 6: Final answer
    x = 1,997.92

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