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Finding the Fourth Proportional to 3,407.73, 4,702.92 and 2,081.69

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Solution

The fourth proportional to 3,407.73, 4,702.92 and 2,081.69 is: 2,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.73 : 4,702.92 = 2,081.69 : x
  2. Step 2: Convert to fraction form
    3,407.73/4,702.92 = 2,081.69/x
  3. Step 3: Cross multiply
    3,407.73x = 4,702.92 × 2,081.69
  4. Step 4: Simplify right side
    3,407.73x = 9,790,021.53
  5. Step 5: Solve for x
    x = 9,790,021.53/3,407.73
  6. Step 6: Final answer
    x = 2,872.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.