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Finding the Fourth Proportional to 2,320.09, 3,474.06 and 1,591.09

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Solution

The fourth proportional to 2,320.09, 3,474.06 and 1,591.09 is: 2,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.09 : 3,474.06 = 1,591.09 : x
  2. Step 2: Convert to fraction form
    2,320.09/3,474.06 = 1,591.09/x
  3. Step 3: Cross multiply
    2,320.09x = 3,474.06 × 1,591.09
  4. Step 4: Simplify right side
    2,320.09x = 5,527,542.13
  5. Step 5: Solve for x
    x = 5,527,542.13/2,320.09
  6. Step 6: Final answer
    x = 2,382.47

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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.