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Finding the Fourth Proportional to 2,321.18, 3,481.94 and 934.52

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Solution

The fourth proportional to 2,321.18, 3,481.94 and 934.52 is: 1,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.18 : 3,481.94 = 934.52 : x
  2. Step 2: Convert to fraction form
    2,321.18/3,481.94 = 934.52/x
  3. Step 3: Cross multiply
    2,321.18x = 3,481.94 × 934.52
  4. Step 4: Simplify right side
    2,321.18x = 3,253,937.90
  5. Step 5: Solve for x
    x = 3,253,937.90/2,321.18
  6. Step 6: Final answer
    x = 1,401.85

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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.