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Finding the Fourth Proportional to 2,748.22, 3,793.03 and 2,083.95

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Solution

The fourth proportional to 2,748.22, 3,793.03 and 2,083.95 is: 2,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.22 : 3,793.03 = 2,083.95 : x
  2. Step 2: Convert to fraction form
    2,748.22/3,793.03 = 2,083.95/x
  3. Step 3: Cross multiply
    2,748.22x = 3,793.03 × 2,083.95
  4. Step 4: Simplify right side
    2,748.22x = 7,904,479.66
  5. Step 5: Solve for x
    x = 7,904,479.66/2,748.22
  6. Step 6: Final answer
    x = 2,876.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.