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Finding the Fourth Proportional to 2,728.91, 4,092.95 and 997.13

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Solution

The fourth proportional to 2,728.91, 4,092.95 and 997.13 is: 1,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.91 : 4,092.95 = 997.13 : x
  2. Step 2: Convert to fraction form
    2,728.91/4,092.95 = 997.13/x
  3. Step 3: Cross multiply
    2,728.91x = 4,092.95 × 997.13
  4. Step 4: Simplify right side
    2,728.91x = 4,081,177.78
  5. Step 5: Solve for x
    x = 4,081,177.78/2,728.91
  6. Step 6: Final answer
    x = 1,495.54

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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.