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Finding the Fourth Proportional to 1,672.43, 2,306.27 and 1,009.34

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Solution

The fourth proportional to 1,672.43, 2,306.27 and 1,009.34 is: 1,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.43 : 2,306.27 = 1,009.34 : x
  2. Step 2: Convert to fraction form
    1,672.43/2,306.27 = 1,009.34/x
  3. Step 3: Cross multiply
    1,672.43x = 2,306.27 × 1,009.34
  4. Step 4: Simplify right side
    1,672.43x = 2,327,793.98
  5. Step 5: Solve for x
    x = 2,327,793.98/1,672.43
  6. Step 6: Final answer
    x = 1,391.87

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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.