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Finding the Fourth Proportional to 3,151.34, 4,348.30 and 1,824.83

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Solution

The fourth proportional to 3,151.34, 4,348.30 and 1,824.83 is: 2,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.34 : 4,348.30 = 1,824.83 : x
  2. Step 2: Convert to fraction form
    3,151.34/4,348.30 = 1,824.83/x
  3. Step 3: Cross multiply
    3,151.34x = 4,348.30 × 1,824.83
  4. Step 4: Simplify right side
    3,151.34x = 7,934,901.71
  5. Step 5: Solve for x
    x = 7,934,901.71/3,151.34
  6. Step 6: Final answer
    x = 2,517.95

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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.