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Finding the Fourth Proportional to 2,027.16, 3,041.10 and 728.46

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Solution

The fourth proportional to 2,027.16, 3,041.10 and 728.46 is: 1,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.16 : 3,041.10 = 728.46 : x
  2. Step 2: Convert to fraction form
    2,027.16/3,041.10 = 728.46/x
  3. Step 3: Cross multiply
    2,027.16x = 3,041.10 × 728.46
  4. Step 4: Simplify right side
    2,027.16x = 2,215,319.71
  5. Step 5: Solve for x
    x = 2,215,319.71/2,027.16
  6. Step 6: Final answer
    x = 1,092.82

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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.