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Finding the Fourth Proportional to 2,863.54, 4,294.47 and 1,014.38

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Solution

The fourth proportional to 2,863.54, 4,294.47 and 1,014.38 is: 1,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.54 : 4,294.47 = 1,014.38 : x
  2. Step 2: Convert to fraction form
    2,863.54/4,294.47 = 1,014.38/x
  3. Step 3: Cross multiply
    2,863.54x = 4,294.47 × 1,014.38
  4. Step 4: Simplify right side
    2,863.54x = 4,356,229.29
  5. Step 5: Solve for x
    x = 4,356,229.29/2,863.54
  6. Step 6: Final answer
    x = 1,521.28

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Why These Related Problems?

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