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Finding the Fourth Proportional to 2,028.16, 3,042.24 and 489.16

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Solution

The fourth proportional to 2,028.16, 3,042.24 and 489.16 is: 733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.16 : 3,042.24 = 489.16 : x
  2. Step 2: Convert to fraction form
    2,028.16/3,042.24 = 489.16/x
  3. Step 3: Cross multiply
    2,028.16x = 3,042.24 × 489.16
  4. Step 4: Simplify right side
    2,028.16x = 1,488,134.51
  5. Step 5: Solve for x
    x = 1,488,134.51/2,028.16
  6. Step 6: Final answer
    x = 733.74

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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.