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Finding the Fourth Proportional to 2,488.96, 3,733.46 and 1,028.09

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Solution

The fourth proportional to 2,488.96, 3,733.46 and 1,028.09 is: 1,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.96 : 3,733.46 = 1,028.09 : x
  2. Step 2: Convert to fraction form
    2,488.96/3,733.46 = 1,028.09/x
  3. Step 3: Cross multiply
    2,488.96x = 3,733.46 × 1,028.09
  4. Step 4: Simplify right side
    2,488.96x = 3,838,340.94
  5. Step 5: Solve for x
    x = 3,838,340.94/2,488.96
  6. Step 6: Final answer
    x = 1,542.15

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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.