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Finding the Fourth Proportional to 2,737.94, 4,097.17 and 2,005.70

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Solution

The fourth proportional to 2,737.94, 4,097.17 and 2,005.70 is: 3,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.94 : 4,097.17 = 2,005.70 : x
  2. Step 2: Convert to fraction form
    2,737.94/4,097.17 = 2,005.70/x
  3. Step 3: Cross multiply
    2,737.94x = 4,097.17 × 2,005.70
  4. Step 4: Simplify right side
    2,737.94x = 8,217,693.87
  5. Step 5: Solve for x
    x = 8,217,693.87/2,737.94
  6. Step 6: Final answer
    x = 3,001.41

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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.