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Finding the Fourth Proportional to 2,232.52, 3,344.42 and 1,192.16

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Solution

The fourth proportional to 2,232.52, 3,344.42 and 1,192.16 is: 1,785.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.52 : 3,344.42 = 1,192.16 : x
  2. Step 2: Convert to fraction form
    2,232.52/3,344.42 = 1,192.16/x
  3. Step 3: Cross multiply
    2,232.52x = 3,344.42 × 1,192.16
  4. Step 4: Simplify right side
    2,232.52x = 3,987,095.09
  5. Step 5: Solve for x
    x = 3,987,095.09/2,232.52
  6. Step 6: Final answer
    x = 1,785.92

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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.