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Finding the Fourth Proportional to 1,989.20, 2,983.80 and 689.75

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Solution

The fourth proportional to 1,989.20, 2,983.80 and 689.75 is: 1,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.20 : 2,983.80 = 689.75 : x
  2. Step 2: Convert to fraction form
    1,989.20/2,983.80 = 689.75/x
  3. Step 3: Cross multiply
    1,989.20x = 2,983.80 × 689.75
  4. Step 4: Simplify right side
    1,989.20x = 2,058,072.60
  5. Step 5: Solve for x
    x = 2,058,072.60/1,989.20
  6. Step 6: Final answer
    x = 1,034.63

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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.