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Finding the Fourth Proportional to 2,021.09, 3,029.19 and 787.88

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Solution

The fourth proportional to 2,021.09, 3,029.19 and 787.88 is: 1,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.09 : 3,029.19 = 787.88 : x
  2. Step 2: Convert to fraction form
    2,021.09/3,029.19 = 787.88/x
  3. Step 3: Cross multiply
    2,021.09x = 3,029.19 × 787.88
  4. Step 4: Simplify right side
    2,021.09x = 2,386,638.22
  5. Step 5: Solve for x
    x = 2,386,638.22/2,021.09
  6. Step 6: Final answer
    x = 1,180.87

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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.