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Finding the Fourth Proportional to 2,922.96, 4,385.20 and 1,279.82

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Solution

The fourth proportional to 2,922.96, 4,385.20 and 1,279.82 is: 1,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,922.96 : 4,385.20 = 1,279.82 : x
  2. Step 2: Convert to fraction form
    2,922.96/4,385.20 = 1,279.82/x
  3. Step 3: Cross multiply
    2,922.96x = 4,385.20 × 1,279.82
  4. Step 4: Simplify right side
    2,922.96x = 5,612,266.66
  5. Step 5: Solve for x
    x = 5,612,266.66/2,922.96
  6. Step 6: Final answer
    x = 1,920.06

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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.