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Finding the Fourth Proportional to 3,151.64, 4,348.49 and 1,892.12

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Solution

The fourth proportional to 3,151.64, 4,348.49 and 1,892.12 is: 2,610.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.64 : 4,348.49 = 1,892.12 : x
  2. Step 2: Convert to fraction form
    3,151.64/4,348.49 = 1,892.12/x
  3. Step 3: Cross multiply
    3,151.64x = 4,348.49 × 1,892.12
  4. Step 4: Simplify right side
    3,151.64x = 8,227,833.70
  5. Step 5: Solve for x
    x = 8,227,833.70/3,151.64
  6. Step 6: Final answer
    x = 2,610.65

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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.