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Finding the Fourth Proportional to 2,102.34, 3,154.59 and 932.61

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Solution

The fourth proportional to 2,102.34, 3,154.59 and 932.61 is: 1,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.34 : 3,154.59 = 932.61 : x
  2. Step 2: Convert to fraction form
    2,102.34/3,154.59 = 932.61/x
  3. Step 3: Cross multiply
    2,102.34x = 3,154.59 × 932.61
  4. Step 4: Simplify right side
    2,102.34x = 2,942,002.18
  5. Step 5: Solve for x
    x = 2,942,002.18/2,102.34
  6. Step 6: Final answer
    x = 1,399.39

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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.