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Finding the Fourth Proportional to 2,711.65, 4,062.61 and 2,565.85

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Solution

The fourth proportional to 2,711.65, 4,062.61 and 2,565.85 is: 3,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.65 : 4,062.61 = 2,565.85 : x
  2. Step 2: Convert to fraction form
    2,711.65/4,062.61 = 2,565.85/x
  3. Step 3: Cross multiply
    2,711.65x = 4,062.61 × 2,565.85
  4. Step 4: Simplify right side
    2,711.65x = 10,424,047.87
  5. Step 5: Solve for x
    x = 10,424,047.87/2,711.65
  6. Step 6: Final answer
    x = 3,844.17

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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.