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Finding the Fourth Proportional to 2,863.67, 4,294.97 and 1,014.71

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Solution

The fourth proportional to 2,863.67, 4,294.97 and 1,014.71 is: 1,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.67 : 4,294.97 = 1,014.71 : x
  2. Step 2: Convert to fraction form
    2,863.67/4,294.97 = 1,014.71/x
  3. Step 3: Cross multiply
    2,863.67x = 4,294.97 × 1,014.71
  4. Step 4: Simplify right side
    2,863.67x = 4,358,143.94
  5. Step 5: Solve for x
    x = 4,358,143.94/2,863.67
  6. Step 6: Final answer
    x = 1,521.87

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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.