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Finding the Fourth Proportional to 2,003.42, 2,766.02 and 1,793.23

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Solution

The fourth proportional to 2,003.42, 2,766.02 and 1,793.23 is: 2,475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.42 : 2,766.02 = 1,793.23 : x
  2. Step 2: Convert to fraction form
    2,003.42/2,766.02 = 1,793.23/x
  3. Step 3: Cross multiply
    2,003.42x = 2,766.02 × 1,793.23
  4. Step 4: Simplify right side
    2,003.42x = 4,960,110.04
  5. Step 5: Solve for x
    x = 4,960,110.04/2,003.42
  6. Step 6: Final answer
    x = 2,475.82

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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.