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Finding the Fourth Proportional to 2,233.38, 3,352.32 and 935.76

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Solution

The fourth proportional to 2,233.38, 3,352.32 and 935.76 is: 1,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.38 : 3,352.32 = 935.76 : x
  2. Step 2: Convert to fraction form
    2,233.38/3,352.32 = 935.76/x
  3. Step 3: Cross multiply
    2,233.38x = 3,352.32 × 935.76
  4. Step 4: Simplify right side
    2,233.38x = 3,136,966.96
  5. Step 5: Solve for x
    x = 3,136,966.96/2,233.38
  6. Step 6: Final answer
    x = 1,404.58

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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.