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Finding the Fourth Proportional to 3,414.65, 4,711.82 and 1,922.52

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Solution

The fourth proportional to 3,414.65, 4,711.82 and 1,922.52 is: 2,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.65 : 4,711.82 = 1,922.52 : x
  2. Step 2: Convert to fraction form
    3,414.65/4,711.82 = 1,922.52/x
  3. Step 3: Cross multiply
    3,414.65x = 4,711.82 × 1,922.52
  4. Step 4: Simplify right side
    3,414.65x = 9,058,587.06
  5. Step 5: Solve for x
    x = 9,058,587.06/3,414.65
  6. Step 6: Final answer
    x = 2,652.86

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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.