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Finding the Fourth Proportional to 2,233.52, 3,350.64 and 935.12

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Solution

The fourth proportional to 2,233.52, 3,350.64 and 935.12 is: 1,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.52 : 3,350.64 = 935.12 : x
  2. Step 2: Convert to fraction form
    2,233.52/3,350.64 = 935.12/x
  3. Step 3: Cross multiply
    2,233.52x = 3,350.64 × 935.12
  4. Step 4: Simplify right side
    2,233.52x = 3,133,250.48
  5. Step 5: Solve for x
    x = 3,133,250.48/2,233.52
  6. Step 6: Final answer
    x = 1,402.83

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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.