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Finding the Fourth Proportional to 2,508.89, 3,763.63 and 865.80

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Solution

The fourth proportional to 2,508.89, 3,763.63 and 865.80 is: 1,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.89 : 3,763.63 = 865.80 : x
  2. Step 2: Convert to fraction form
    2,508.89/3,763.63 = 865.80/x
  3. Step 3: Cross multiply
    2,508.89x = 3,763.63 × 865.80
  4. Step 4: Simplify right side
    2,508.89x = 3,258,550.85
  5. Step 5: Solve for x
    x = 3,258,550.85/2,508.89
  6. Step 6: Final answer
    x = 1,298.80

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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.