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Finding the Fourth Proportional to 2,265.30, 3,398.82 and 879.61

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Solution

The fourth proportional to 2,265.30, 3,398.82 and 879.61 is: 1,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.30 : 3,398.82 = 879.61 : x
  2. Step 2: Convert to fraction form
    2,265.30/3,398.82 = 879.61/x
  3. Step 3: Cross multiply
    2,265.30x = 3,398.82 × 879.61
  4. Step 4: Simplify right side
    2,265.30x = 2,989,642.43
  5. Step 5: Solve for x
    x = 2,989,642.43/2,265.30
  6. Step 6: Final answer
    x = 1,319.75

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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.