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Finding the Fourth Proportional to 2,027.06, 3,040.62 and 566.13

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Solution

The fourth proportional to 2,027.06, 3,040.62 and 566.13 is: 849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.06 : 3,040.62 = 566.13 : x
  2. Step 2: Convert to fraction form
    2,027.06/3,040.62 = 566.13/x
  3. Step 3: Cross multiply
    2,027.06x = 3,040.62 × 566.13
  4. Step 4: Simplify right side
    2,027.06x = 1,721,386.20
  5. Step 5: Solve for x
    x = 1,721,386.20/2,027.06
  6. Step 6: Final answer
    x = 849.20

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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.