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Finding the Fourth Proportional to 2,566.98, 3,542.54 and 1,447.96

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Solution

The fourth proportional to 2,566.98, 3,542.54 and 1,447.96 is: 1,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.98 : 3,542.54 = 1,447.96 : x
  2. Step 2: Convert to fraction form
    2,566.98/3,542.54 = 1,447.96/x
  3. Step 3: Cross multiply
    2,566.98x = 3,542.54 × 1,447.96
  4. Step 4: Simplify right side
    2,566.98x = 5,129,456.22
  5. Step 5: Solve for x
    x = 5,129,456.22/2,566.98
  6. Step 6: Final answer
    x = 1,998.25

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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.