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Finding the Fourth Proportional to 2,702.73, 4,057.74 and 1,242.30

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Solution

The fourth proportional to 2,702.73, 4,057.74 and 1,242.30 is: 1,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.73 : 4,057.74 = 1,242.30 : x
  2. Step 2: Convert to fraction form
    2,702.73/4,057.74 = 1,242.30/x
  3. Step 3: Cross multiply
    2,702.73x = 4,057.74 × 1,242.30
  4. Step 4: Simplify right side
    2,702.73x = 5,040,930.40
  5. Step 5: Solve for x
    x = 5,040,930.40/2,702.73
  6. Step 6: Final answer
    x = 1,865.13

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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.