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Finding the Fourth Proportional to 2,189.80, 3,278.30 and 2,125.80

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Solution

The fourth proportional to 2,189.80, 3,278.30 and 2,125.80 is: 3,182.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.80 : 3,278.30 = 2,125.80 : x
  2. Step 2: Convert to fraction form
    2,189.80/3,278.30 = 2,125.80/x
  3. Step 3: Cross multiply
    2,189.80x = 3,278.30 × 2,125.80
  4. Step 4: Simplify right side
    2,189.80x = 6,969,010.14
  5. Step 5: Solve for x
    x = 6,969,010.14/2,189.80
  6. Step 6: Final answer
    x = 3,182.49

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1.5x scale

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.