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Finding the Fourth Proportional to 2,508.44, 3,761.82 and 865.16

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Solution

The fourth proportional to 2,508.44, 3,761.82 and 865.16 is: 1,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.44 : 3,761.82 = 865.16 : x
  2. Step 2: Convert to fraction form
    2,508.44/3,761.82 = 865.16/x
  3. Step 3: Cross multiply
    2,508.44x = 3,761.82 × 865.16
  4. Step 4: Simplify right side
    2,508.44x = 3,254,576.19
  5. Step 5: Solve for x
    x = 3,254,576.19/2,508.44
  6. Step 6: Final answer
    x = 1,297.45

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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.