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Finding the Fourth Proportional to 2,591.86, 3,868.99 and 2,399.15

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Solution

The fourth proportional to 2,591.86, 3,868.99 and 2,399.15 is: 3,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.86 : 3,868.99 = 2,399.15 : x
  2. Step 2: Convert to fraction form
    2,591.86/3,868.99 = 2,399.15/x
  3. Step 3: Cross multiply
    2,591.86x = 3,868.99 × 2,399.15
  4. Step 4: Simplify right side
    2,591.86x = 9,282,287.36
  5. Step 5: Solve for x
    x = 9,282,287.36/2,591.86
  6. Step 6: Final answer
    x = 3,581.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.