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Finding the Fourth Proportional to 2,439.84, 3,660.57 and 1,142.22

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Solution

The fourth proportional to 2,439.84, 3,660.57 and 1,142.22 is: 1,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,439.84 : 3,660.57 = 1,142.22 : x
  2. Step 2: Convert to fraction form
    2,439.84/3,660.57 = 1,142.22/x
  3. Step 3: Cross multiply
    2,439.84x = 3,660.57 × 1,142.22
  4. Step 4: Simplify right side
    2,439.84x = 4,181,176.27
  5. Step 5: Solve for x
    x = 4,181,176.27/2,439.84
  6. Step 6: Final answer
    x = 1,713.71

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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.