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Finding the Fourth Proportional to 2,119.75, 3,179.42 and 658.88

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Solution

The fourth proportional to 2,119.75, 3,179.42 and 658.88 is: 988.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.75 : 3,179.42 = 658.88 : x
  2. Step 2: Convert to fraction form
    2,119.75/3,179.42 = 658.88/x
  3. Step 3: Cross multiply
    2,119.75x = 3,179.42 × 658.88
  4. Step 4: Simplify right side
    2,119.75x = 2,094,851.45
  5. Step 5: Solve for x
    x = 2,094,851.45/2,119.75
  6. Step 6: Final answer
    x = 988.26

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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.