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Finding the Fourth Proportional to 2,613.66, 3,917.97 and 881.34

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Solution

The fourth proportional to 2,613.66, 3,917.97 and 881.34 is: 1,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.66 : 3,917.97 = 881.34 : x
  2. Step 2: Convert to fraction form
    2,613.66/3,917.97 = 881.34/x
  3. Step 3: Cross multiply
    2,613.66x = 3,917.97 × 881.34
  4. Step 4: Simplify right side
    2,613.66x = 3,453,063.68
  5. Step 5: Solve for x
    x = 3,453,063.68/2,613.66
  6. Step 6: Final answer
    x = 1,321.16

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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.