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Finding the Fourth Proportional to 2,027.24, 3,040.75 and 621.66

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Solution

The fourth proportional to 2,027.24, 3,040.75 and 621.66 is: 932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.24 : 3,040.75 = 621.66 : x
  2. Step 2: Convert to fraction form
    2,027.24/3,040.75 = 621.66/x
  3. Step 3: Cross multiply
    2,027.24x = 3,040.75 × 621.66
  4. Step 4: Simplify right side
    2,027.24x = 1,890,312.65
  5. Step 5: Solve for x
    x = 1,890,312.65/2,027.24
  6. Step 6: Final answer
    x = 932.46

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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.