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Finding the Fourth Proportional to 2,613.17, 3,920.30 and 881.75

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Solution

The fourth proportional to 2,613.17, 3,920.30 and 881.75 is: 1,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.17 : 3,920.30 = 881.75 : x
  2. Step 2: Convert to fraction form
    2,613.17/3,920.30 = 881.75/x
  3. Step 3: Cross multiply
    2,613.17x = 3,920.30 × 881.75
  4. Step 4: Simplify right side
    2,613.17x = 3,456,720.12
  5. Step 5: Solve for x
    x = 3,456,720.12/2,613.17
  6. Step 6: Final answer
    x = 1,322.81

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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.