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Finding the Fourth Proportional to 2,119.56, 3,179.33 and 658.71

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Solution

The fourth proportional to 2,119.56, 3,179.33 and 658.71 is: 988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.56 : 3,179.33 = 658.71 : x
  2. Step 2: Convert to fraction form
    2,119.56/3,179.33 = 658.71/x
  3. Step 3: Cross multiply
    2,119.56x = 3,179.33 × 658.71
  4. Step 4: Simplify right side
    2,119.56x = 2,094,256.46
  5. Step 5: Solve for x
    x = 2,094,256.46/2,119.56
  6. Step 6: Final answer
    x = 988.06

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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.