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Finding the Fourth Proportional to 3,119.67, 4,680.14 and 1,658.43

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Solution

The fourth proportional to 3,119.67, 4,680.14 and 1,658.43 is: 2,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.67 : 4,680.14 = 1,658.43 : x
  2. Step 2: Convert to fraction form
    3,119.67/4,680.14 = 1,658.43/x
  3. Step 3: Cross multiply
    3,119.67x = 4,680.14 × 1,658.43
  4. Step 4: Simplify right side
    3,119.67x = 7,761,676.29
  5. Step 5: Solve for x
    x = 7,761,676.29/3,119.67
  6. Step 6: Final answer
    x = 2,487.98

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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.