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Finding the Fourth Proportional to 2,251.40, 3,376.28 and 864.02

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Solution

The fourth proportional to 2,251.40, 3,376.28 and 864.02 is: 1,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251.40 : 3,376.28 = 864.02 : x
  2. Step 2: Convert to fraction form
    2,251.40/3,376.28 = 864.02/x
  3. Step 3: Cross multiply
    2,251.40x = 3,376.28 × 864.02
  4. Step 4: Simplify right side
    2,251.40x = 2,917,165.05
  5. Step 5: Solve for x
    x = 2,917,165.05/2,251.40
  6. Step 6: Final answer
    x = 1,295.71

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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.