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Finding the Fourth Proportional to 3,111.59, 4,660.81 and 2,332.78

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Solution

The fourth proportional to 3,111.59, 4,660.81 and 2,332.78 is: 3,494.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.59 : 4,660.81 = 2,332.78 : x
  2. Step 2: Convert to fraction form
    3,111.59/4,660.81 = 2,332.78/x
  3. Step 3: Cross multiply
    3,111.59x = 4,660.81 × 2,332.78
  4. Step 4: Simplify right side
    3,111.59x = 10,872,626.87
  5. Step 5: Solve for x
    x = 10,872,626.87/3,111.59
  6. Step 6: Final answer
    x = 3,494.23

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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.