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Finding the Fourth Proportional to 2,232.57, 3,081.17 and 1,237.86

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Solution

The fourth proportional to 2,232.57, 3,081.17 and 1,237.86 is: 1,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.57 : 3,081.17 = 1,237.86 : x
  2. Step 2: Convert to fraction form
    2,232.57/3,081.17 = 1,237.86/x
  3. Step 3: Cross multiply
    2,232.57x = 3,081.17 × 1,237.86
  4. Step 4: Simplify right side
    2,232.57x = 3,814,050.91
  5. Step 5: Solve for x
    x = 3,814,050.91/2,232.57
  6. Step 6: Final answer
    x = 1,708.37

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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.