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Finding the Fourth Proportional to 2,027.06, 3,040.05 and 872.54

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Solution

The fourth proportional to 2,027.06, 3,040.05 and 872.54 is: 1,308.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.06 : 3,040.05 = 872.54 : x
  2. Step 2: Convert to fraction form
    2,027.06/3,040.05 = 872.54/x
  3. Step 3: Cross multiply
    2,027.06x = 3,040.05 × 872.54
  4. Step 4: Simplify right side
    2,027.06x = 2,652,565.23
  5. Step 5: Solve for x
    x = 2,652,565.23/2,027.06
  6. Step 6: Final answer
    x = 1,308.58

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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.