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Finding the Fourth Proportional to 2,506.78, 3,760.77 and 863.29

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Solution

The fourth proportional to 2,506.78, 3,760.77 and 863.29 is: 1,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.78 : 3,760.77 = 863.29 : x
  2. Step 2: Convert to fraction form
    2,506.78/3,760.77 = 863.29/x
  3. Step 3: Cross multiply
    2,506.78x = 3,760.77 × 863.29
  4. Step 4: Simplify right side
    2,506.78x = 3,246,635.13
  5. Step 5: Solve for x
    x = 3,246,635.13/2,506.78
  6. Step 6: Final answer
    x = 1,295.14

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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.