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Finding the Fourth Proportional to 2,718.38, 4,078.29 and 1,158.44

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Solution

The fourth proportional to 2,718.38, 4,078.29 and 1,158.44 is: 1,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.38 : 4,078.29 = 1,158.44 : x
  2. Step 2: Convert to fraction form
    2,718.38/4,078.29 = 1,158.44/x
  3. Step 3: Cross multiply
    2,718.38x = 4,078.29 × 1,158.44
  4. Step 4: Simplify right side
    2,718.38x = 4,724,454.27
  5. Step 5: Solve for x
    x = 4,724,454.27/2,718.38
  6. Step 6: Final answer
    x = 1,737.97

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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.