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Finding the Fourth Proportional to 2,121.04, 3,180.36 and 659.92

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Solution

The fourth proportional to 2,121.04, 3,180.36 and 659.92 is: 989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.04 : 3,180.36 = 659.92 : x
  2. Step 2: Convert to fraction form
    2,121.04/3,180.36 = 659.92/x
  3. Step 3: Cross multiply
    2,121.04x = 3,180.36 × 659.92
  4. Step 4: Simplify right side
    2,121.04x = 2,098,783.17
  5. Step 5: Solve for x
    x = 2,098,783.17/2,121.04
  6. Step 6: Final answer
    x = 989.51

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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.