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Finding the Fourth Proportional to 2,337.71, 3,508.11 and 1,242.86

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Solution

The fourth proportional to 2,337.71, 3,508.11 and 1,242.86 is: 1,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.71 : 3,508.11 = 1,242.86 : x
  2. Step 2: Convert to fraction form
    2,337.71/3,508.11 = 1,242.86/x
  3. Step 3: Cross multiply
    2,337.71x = 3,508.11 × 1,242.86
  4. Step 4: Simplify right side
    2,337.71x = 4,360,072.05
  5. Step 5: Solve for x
    x = 4,360,072.05/2,337.71
  6. Step 6: Final answer
    x = 1,865.11

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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.