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Finding the Fourth Proportional to 2,184.38, 3,275.86 and 951.42

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Solution

The fourth proportional to 2,184.38, 3,275.86 and 951.42 is: 1,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.38 : 3,275.86 = 951.42 : x
  2. Step 2: Convert to fraction form
    2,184.38/3,275.86 = 951.42/x
  3. Step 3: Cross multiply
    2,184.38x = 3,275.86 × 951.42
  4. Step 4: Simplify right side
    2,184.38x = 3,116,724.53
  5. Step 5: Solve for x
    x = 3,116,724.53/2,184.38
  6. Step 6: Final answer
    x = 1,426.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.