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Finding the Fourth Proportional to 2,781.52, 3,842.50 and 2,221.26

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Solution

The fourth proportional to 2,781.52, 3,842.50 and 2,221.26 is: 3,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.52 : 3,842.50 = 2,221.26 : x
  2. Step 2: Convert to fraction form
    2,781.52/3,842.50 = 2,221.26/x
  3. Step 3: Cross multiply
    2,781.52x = 3,842.50 × 2,221.26
  4. Step 4: Simplify right side
    2,781.52x = 8,535,172.34
  5. Step 5: Solve for x
    x = 8,535,172.34/2,781.52
  6. Step 6: Final answer
    x = 3,068.53

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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.