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Finding the Fourth Proportional to 2,027.13, 3,040.23 and 566.40

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Solution

The fourth proportional to 2,027.13, 3,040.23 and 566.40 is: 849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.13 : 3,040.23 = 566.40 : x
  2. Step 2: Convert to fraction form
    2,027.13/3,040.23 = 566.40/x
  3. Step 3: Cross multiply
    2,027.13x = 3,040.23 × 566.40
  4. Step 4: Simplify right side
    2,027.13x = 1,721,986.27
  5. Step 5: Solve for x
    x = 1,721,986.27/2,027.13
  6. Step 6: Final answer
    x = 849.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.