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Finding the Fourth Proportional to 2,767.98, 3,823.12 and 2,020.74

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Solution

The fourth proportional to 2,767.98, 3,823.12 and 2,020.74 is: 2,791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.98 : 3,823.12 = 2,020.74 : x
  2. Step 2: Convert to fraction form
    2,767.98/3,823.12 = 2,020.74/x
  3. Step 3: Cross multiply
    2,767.98x = 3,823.12 × 2,020.74
  4. Step 4: Simplify right side
    2,767.98x = 7,725,531.51
  5. Step 5: Solve for x
    x = 7,725,531.51/2,767.98
  6. Step 6: Final answer
    x = 2,791.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.