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Finding the Fourth Proportional to 2,566.76, 3,542.10 and 1,447.70

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Solution

The fourth proportional to 2,566.76, 3,542.10 and 1,447.70 is: 1,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.76 : 3,542.10 = 1,447.70 : x
  2. Step 2: Convert to fraction form
    2,566.76/3,542.10 = 1,447.70/x
  3. Step 3: Cross multiply
    2,566.76x = 3,542.10 × 1,447.70
  4. Step 4: Simplify right side
    2,566.76x = 5,127,912.15
  5. Step 5: Solve for x
    x = 5,127,912.15/2,566.76
  6. Step 6: Final answer
    x = 1,997.82

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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.