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Finding the Fourth Proportional to 2,027.35, 3,040.48 and 566.25

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Solution

The fourth proportional to 2,027.35, 3,040.48 and 566.25 is: 849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.35 : 3,040.48 = 566.25 : x
  2. Step 2: Convert to fraction form
    2,027.35/3,040.48 = 566.25/x
  3. Step 3: Cross multiply
    2,027.35x = 3,040.48 × 566.25
  4. Step 4: Simplify right side
    2,027.35x = 1,721,671.80
  5. Step 5: Solve for x
    x = 1,721,671.80/2,027.35
  6. Step 6: Final answer
    x = 849.22

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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.