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Finding the Fourth Proportional to 2,227.74, 3,341.92 and 1,187.48

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Solution

The fourth proportional to 2,227.74, 3,341.92 and 1,187.48 is: 1,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.74 : 3,341.92 = 1,187.48 : x
  2. Step 2: Convert to fraction form
    2,227.74/3,341.92 = 1,187.48/x
  3. Step 3: Cross multiply
    2,227.74x = 3,341.92 × 1,187.48
  4. Step 4: Simplify right side
    2,227.74x = 3,968,463.16
  5. Step 5: Solve for x
    x = 3,968,463.16/2,227.74
  6. Step 6: Final answer
    x = 1,781.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.