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Finding the Fourth Proportional to 2,028.18, 3,042.28 and 489.18

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Solution

The fourth proportional to 2,028.18, 3,042.28 and 489.18 is: 733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.18 : 3,042.28 = 489.18 : x
  2. Step 2: Convert to fraction form
    2,028.18/3,042.28 = 489.18/x
  3. Step 3: Cross multiply
    2,028.18x = 3,042.28 × 489.18
  4. Step 4: Simplify right side
    2,028.18x = 1,488,227.69
  5. Step 5: Solve for x
    x = 1,488,227.69/2,028.18
  6. Step 6: Final answer
    x = 733.77

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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.