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Finding the Fourth Proportional to 1,882.24, 2,824.32 and 728.32

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Solution

The fourth proportional to 1,882.24, 2,824.32 and 728.32 is: 1,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.24 : 2,824.32 = 728.32 : x
  2. Step 2: Convert to fraction form
    1,882.24/2,824.32 = 728.32/x
  3. Step 3: Cross multiply
    1,882.24x = 2,824.32 × 728.32
  4. Step 4: Simplify right side
    1,882.24x = 2,057,008.74
  5. Step 5: Solve for x
    x = 2,057,008.74/1,882.24
  6. Step 6: Final answer
    x = 1,092.85

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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.