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Finding the Fourth Proportional to 2,027.46, 3,040.56 and 728.94

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Solution

The fourth proportional to 2,027.46, 3,040.56 and 728.94 is: 1,093.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.46 : 3,040.56 = 728.94 : x
  2. Step 2: Convert to fraction form
    2,027.46/3,040.56 = 728.94/x
  3. Step 3: Cross multiply
    2,027.46x = 3,040.56 × 728.94
  4. Step 4: Simplify right side
    2,027.46x = 2,216,385.81
  5. Step 5: Solve for x
    x = 2,216,385.81/2,027.46
  6. Step 6: Final answer
    x = 1,093.18

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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.