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Finding the Fourth Proportional to 2,601.52, 3,902.16 and 935.64

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Solution

The fourth proportional to 2,601.52, 3,902.16 and 935.64 is: 1,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,902.16 = 935.64 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,902.16 = 935.64/x
  3. Step 3: Cross multiply
    2,601.52x = 3,902.16 × 935.64
  4. Step 4: Simplify right side
    2,601.52x = 3,651,016.98
  5. Step 5: Solve for x
    x = 3,651,016.98/2,601.52
  6. Step 6: Final answer
    x = 1,403.42

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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.