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Finding the Fourth Proportional to 3,407.38, 4,702.68 and 2,081.84

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Solution

The fourth proportional to 3,407.38, 4,702.68 and 2,081.84 is: 2,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.38 : 4,702.68 = 2,081.84 : x
  2. Step 2: Convert to fraction form
    3,407.38/4,702.68 = 2,081.84/x
  3. Step 3: Cross multiply
    3,407.38x = 4,702.68 × 2,081.84
  4. Step 4: Simplify right side
    3,407.38x = 9,790,227.33
  5. Step 5: Solve for x
    x = 9,790,227.33/3,407.38
  6. Step 6: Final answer
    x = 2,873.25

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Why These Related Problems?

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