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Finding the Fourth Proportional to 2,591.33, 3,578.99 and 1,711.06

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Solution

The fourth proportional to 2,591.33, 3,578.99 and 1,711.06 is: 2,363.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.33 : 3,578.99 = 1,711.06 : x
  2. Step 2: Convert to fraction form
    2,591.33/3,578.99 = 1,711.06/x
  3. Step 3: Cross multiply
    2,591.33x = 3,578.99 × 1,711.06
  4. Step 4: Simplify right side
    2,591.33x = 6,123,849.13
  5. Step 5: Solve for x
    x = 6,123,849.13/2,591.33
  6. Step 6: Final answer
    x = 2,363.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.