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Finding the Fourth Proportional to 2,737.07, 4,105.61 and 685.07

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Solution

The fourth proportional to 2,737.07, 4,105.61 and 685.07 is: 1,027.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.07 : 4,105.61 = 685.07 : x
  2. Step 2: Convert to fraction form
    2,737.07/4,105.61 = 685.07/x
  3. Step 3: Cross multiply
    2,737.07x = 4,105.61 × 685.07
  4. Step 4: Simplify right side
    2,737.07x = 2,812,606.29
  5. Step 5: Solve for x
    x = 2,812,606.29/2,737.07
  6. Step 6: Final answer
    x = 1,027.60

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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.