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Finding the Fourth Proportional to 2,331.46, 3,496.16 and 1,452.65

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Solution

The fourth proportional to 2,331.46, 3,496.16 and 1,452.65 is: 2,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.46 : 3,496.16 = 1,452.65 : x
  2. Step 2: Convert to fraction form
    2,331.46/3,496.16 = 1,452.65/x
  3. Step 3: Cross multiply
    2,331.46x = 3,496.16 × 1,452.65
  4. Step 4: Simplify right side
    2,331.46x = 5,078,682.97
  5. Step 5: Solve for x
    x = 5,078,682.97/2,331.46
  6. Step 6: Final answer
    x = 2,178.33

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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.