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Finding the Fourth Proportional to 2,469.94, 3,702.45 and 2,032.54

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Solution

The fourth proportional to 2,469.94, 3,702.45 and 2,032.54 is: 3,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.94 : 3,702.45 = 2,032.54 : x
  2. Step 2: Convert to fraction form
    2,469.94/3,702.45 = 2,032.54/x
  3. Step 3: Cross multiply
    2,469.94x = 3,702.45 × 2,032.54
  4. Step 4: Simplify right side
    2,469.94x = 7,525,377.72
  5. Step 5: Solve for x
    x = 7,525,377.72/2,469.94
  6. Step 6: Final answer
    x = 3,046.79

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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.