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Finding the Fourth Proportional to 2,119.59, 3,179.12 and 658.76

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Solution

The fourth proportional to 2,119.59, 3,179.12 and 658.76 is: 988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.59 : 3,179.12 = 658.76 : x
  2. Step 2: Convert to fraction form
    2,119.59/3,179.12 = 658.76/x
  3. Step 3: Cross multiply
    2,119.59x = 3,179.12 × 658.76
  4. Step 4: Simplify right side
    2,119.59x = 2,094,257.90
  5. Step 5: Solve for x
    x = 2,094,257.90/2,119.59
  6. Step 6: Final answer
    x = 988.05

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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.