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Finding the Fourth Proportional to 2,019.92, 3,032.71 and 1,033.44

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Solution

The fourth proportional to 2,019.92, 3,032.71 and 1,033.44 is: 1,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.92 : 3,032.71 = 1,033.44 : x
  2. Step 2: Convert to fraction form
    2,019.92/3,032.71 = 1,033.44/x
  3. Step 3: Cross multiply
    2,019.92x = 3,032.71 × 1,033.44
  4. Step 4: Simplify right side
    2,019.92x = 3,134,126.21
  5. Step 5: Solve for x
    x = 3,134,126.21/2,019.92
  6. Step 6: Final answer
    x = 1,551.61

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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.