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Finding the Fourth Proportional to 2,566.79, 3,542.34 and 1,447.62

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Solution

The fourth proportional to 2,566.79, 3,542.34 and 1,447.62 is: 1,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.79 : 3,542.34 = 1,447.62 : x
  2. Step 2: Convert to fraction form
    2,566.79/3,542.34 = 1,447.62/x
  3. Step 3: Cross multiply
    2,566.79x = 3,542.34 × 1,447.62
  4. Step 4: Simplify right side
    2,566.79x = 5,127,962.23
  5. Step 5: Solve for x
    x = 5,127,962.23/2,566.79
  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.