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Finding the Fourth Proportional to 2,017.29, 3,024.39 and 920.88

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Solution

The fourth proportional to 2,017.29, 3,024.39 and 920.88 is: 1,380.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.29 : 3,024.39 = 920.88 : x
  2. Step 2: Convert to fraction form
    2,017.29/3,024.39 = 920.88/x
  3. Step 3: Cross multiply
    2,017.29x = 3,024.39 × 920.88
  4. Step 4: Simplify right side
    2,017.29x = 2,785,100.26
  5. Step 5: Solve for x
    x = 2,785,100.26/2,017.29
  6. Step 6: Final answer
    x = 1,380.61

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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.