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Finding the Fourth Proportional to 2,044.28, 3,066.48 and 728.24

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Solution

The fourth proportional to 2,044.28, 3,066.48 and 728.24 is: 1,092.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.28 : 3,066.48 = 728.24 : x
  2. Step 2: Convert to fraction form
    2,044.28/3,066.48 = 728.24/x
  3. Step 3: Cross multiply
    2,044.28x = 3,066.48 × 728.24
  4. Step 4: Simplify right side
    2,044.28x = 2,233,118.06
  5. Step 5: Solve for x
    x = 2,233,118.06/2,044.28
  6. Step 6: Final answer
    x = 1,092.37

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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.