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Finding the Fourth Proportional to 2,508.86, 3,761.90 and 864.05

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Solution

The fourth proportional to 2,508.86, 3,761.90 and 864.05 is: 1,295.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.86 : 3,761.90 = 864.05 : x
  2. Step 2: Convert to fraction form
    2,508.86/3,761.90 = 864.05/x
  3. Step 3: Cross multiply
    2,508.86x = 3,761.90 × 864.05
  4. Step 4: Simplify right side
    2,508.86x = 3,250,450.89
  5. Step 5: Solve for x
    x = 3,250,450.89/2,508.86
  6. Step 6: Final answer
    x = 1,295.59

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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.