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Finding the Fourth Proportional to 2,613.18, 3,920.34 and 881.76

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Solution

The fourth proportional to 2,613.18, 3,920.34 and 881.76 is: 1,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.18 : 3,920.34 = 881.76 : x
  2. Step 2: Convert to fraction form
    2,613.18/3,920.34 = 881.76/x
  3. Step 3: Cross multiply
    2,613.18x = 3,920.34 × 881.76
  4. Step 4: Simplify right side
    2,613.18x = 3,456,799.00
  5. Step 5: Solve for x
    x = 3,456,799.00/2,613.18
  6. Step 6: Final answer
    x = 1,322.83

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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.