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Finding the Fourth Proportional to 2,020.28, 3,029.83 and 787.39

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Solution

The fourth proportional to 2,020.28, 3,029.83 and 787.39 is: 1,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,020.28 : 3,029.83 = 787.39 : x
  2. Step 2: Convert to fraction form
    2,020.28/3,029.83 = 787.39/x
  3. Step 3: Cross multiply
    2,020.28x = 3,029.83 × 787.39
  4. Step 4: Simplify right side
    2,020.28x = 2,385,664.24
  5. Step 5: Solve for x
    x = 2,385,664.24/2,020.28
  6. Step 6: Final answer
    x = 1,180.86

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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.