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Finding the Fourth Proportional to 2,748.67, 3,793.72 and 1,686.41

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Solution

The fourth proportional to 2,748.67, 3,793.72 and 1,686.41 is: 2,327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.67 : 3,793.72 = 1,686.41 : x
  2. Step 2: Convert to fraction form
    2,748.67/3,793.72 = 1,686.41/x
  3. Step 3: Cross multiply
    2,748.67x = 3,793.72 × 1,686.41
  4. Step 4: Simplify right side
    2,748.67x = 6,397,767.35
  5. Step 5: Solve for x
    x = 6,397,767.35/2,748.67
  6. Step 6: Final answer
    x = 2,327.59

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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.