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Finding the Fourth Proportional to 2,469.52, 3,702.52 and 1,082.08

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Solution

The fourth proportional to 2,469.52, 3,702.52 and 1,082.08 is: 1,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.52 : 3,702.52 = 1,082.08 : x
  2. Step 2: Convert to fraction form
    2,469.52/3,702.52 = 1,082.08/x
  3. Step 3: Cross multiply
    2,469.52x = 3,702.52 × 1,082.08
  4. Step 4: Simplify right side
    2,469.52x = 4,006,422.84
  5. Step 5: Solve for x
    x = 4,006,422.84/2,469.52
  6. Step 6: Final answer
    x = 1,622.35

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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.