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Finding the Fourth Proportional to 2,189.48, 3,283.78 and 728.20

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Solution

The fourth proportional to 2,189.48, 3,283.78 and 728.20 is: 1,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.48 : 3,283.78 = 728.20 : x
  2. Step 2: Convert to fraction form
    2,189.48/3,283.78 = 728.20/x
  3. Step 3: Cross multiply
    2,189.48x = 3,283.78 × 728.20
  4. Step 4: Simplify right side
    2,189.48x = 2,391,248.60
  5. Step 5: Solve for x
    x = 2,391,248.60/2,189.48
  6. Step 6: Final answer
    x = 1,092.15

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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.