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Finding the Fourth Proportional to 2,331.57, 3,496.14 and 869.52

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Solution

The fourth proportional to 2,331.57, 3,496.14 and 869.52 is: 1,303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.57 : 3,496.14 = 869.52 : x
  2. Step 2: Convert to fraction form
    2,331.57/3,496.14 = 869.52/x
  3. Step 3: Cross multiply
    2,331.57x = 3,496.14 × 869.52
  4. Step 4: Simplify right side
    2,331.57x = 3,039,963.65
  5. Step 5: Solve for x
    x = 3,039,963.65/2,331.57
  6. Step 6: Final answer
    x = 1,303.83

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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.