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Finding the Fourth Proportional to 2,508.12, 3,763.29 and 865.83

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Solution

The fourth proportional to 2,508.12, 3,763.29 and 865.83 is: 1,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.12 : 3,763.29 = 865.83 : x
  2. Step 2: Convert to fraction form
    2,508.12/3,763.29 = 865.83/x
  3. Step 3: Cross multiply
    2,508.12x = 3,763.29 × 865.83
  4. Step 4: Simplify right side
    2,508.12x = 3,258,369.38
  5. Step 5: Solve for x
    x = 3,258,369.38/2,508.12
  6. Step 6: Final answer
    x = 1,299.13

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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.