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Finding the Fourth Proportional to 2,120.52, 3,180.96 and 659.76

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Solution

The fourth proportional to 2,120.52, 3,180.96 and 659.76 is: 989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.52 : 3,180.96 = 659.76 : x
  2. Step 2: Convert to fraction form
    2,120.52/3,180.96 = 659.76/x
  3. Step 3: Cross multiply
    2,120.52x = 3,180.96 × 659.76
  4. Step 4: Simplify right side
    2,120.52x = 2,098,670.17
  5. Step 5: Solve for x
    x = 2,098,670.17/2,120.52
  6. Step 6: Final answer
    x = 989.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.