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Finding the Fourth Proportional to 3,129.27, 4,693.90 and 1,349.61

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Solution

The fourth proportional to 3,129.27, 4,693.90 and 1,349.61 is: 2,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.27 : 4,693.90 = 1,349.61 : x
  2. Step 2: Convert to fraction form
    3,129.27/4,693.90 = 1,349.61/x
  3. Step 3: Cross multiply
    3,129.27x = 4,693.90 × 1,349.61
  4. Step 4: Simplify right side
    3,129.27x = 6,334,934.38
  5. Step 5: Solve for x
    x = 6,334,934.38/3,129.27
  6. Step 6: Final answer
    x = 2,024.41

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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.