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Finding the Fourth Proportional to 2,711.66, 4,064.05 and 2,310.71

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Solution

The fourth proportional to 2,711.66, 4,064.05 and 2,310.71 is: 3,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.66 : 4,064.05 = 2,310.71 : x
  2. Step 2: Convert to fraction form
    2,711.66/4,064.05 = 2,310.71/x
  3. Step 3: Cross multiply
    2,711.66x = 4,064.05 × 2,310.71
  4. Step 4: Simplify right side
    2,711.66x = 9,390,823.54
  5. Step 5: Solve for x
    x = 9,390,823.54/2,711.66
  6. Step 6: Final answer
    x = 3,463.13

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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.