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Finding the Fourth Proportional to 2,508.64, 3,762.56 and 865.12

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Solution

The fourth proportional to 2,508.64, 3,762.56 and 865.12 is: 1,297.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.64 : 3,762.56 = 865.12 : x
  2. Step 2: Convert to fraction form
    2,508.64/3,762.56 = 865.12/x
  3. Step 3: Cross multiply
    2,508.64x = 3,762.56 × 865.12
  4. Step 4: Simplify right side
    2,508.64x = 3,255,065.91
  5. Step 5: Solve for x
    x = 3,255,065.91/2,508.64
  6. Step 6: Final answer
    x = 1,297.54

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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.