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Finding the Fourth Proportional to 3,337.97, 4,999.65 and 1,691.69

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Solution

The fourth proportional to 3,337.97, 4,999.65 and 1,691.69 is: 2,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.97 : 4,999.65 = 1,691.69 : x
  2. Step 2: Convert to fraction form
    3,337.97/4,999.65 = 1,691.69/x
  3. Step 3: Cross multiply
    3,337.97x = 4,999.65 × 1,691.69
  4. Step 4: Simplify right side
    3,337.97x = 8,457,832.91
  5. Step 5: Solve for x
    x = 8,457,832.91/3,337.97
  6. Step 6: Final answer
    x = 2,533.83

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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.