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Finding the Fourth Proportional to 2,208.80, 3,306.80 and 1,978.40

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Solution

The fourth proportional to 2,208.80, 3,306.80 and 1,978.40 is: 2,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.80 : 3,306.80 = 1,978.40 : x
  2. Step 2: Convert to fraction form
    2,208.80/3,306.80 = 1,978.40/x
  3. Step 3: Cross multiply
    2,208.80x = 3,306.80 × 1,978.40
  4. Step 4: Simplify right side
    2,208.80x = 6,542,173.12
  5. Step 5: Solve for x
    x = 6,542,173.12/2,208.80
  6. Step 6: Final answer
    x = 2,961.87

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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.