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Finding the Fourth Proportional to 2,774.25, 3,823.90 and 1,966.97

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Solution

The fourth proportional to 2,774.25, 3,823.90 and 1,966.97 is: 2,711.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.25 : 3,823.90 = 1,966.97 : x
  2. Step 2: Convert to fraction form
    2,774.25/3,823.90 = 1,966.97/x
  3. Step 3: Cross multiply
    2,774.25x = 3,823.90 × 1,966.97
  4. Step 4: Simplify right side
    2,774.25x = 7,521,496.58
  5. Step 5: Solve for x
    x = 7,521,496.58/2,774.25
  6. Step 6: Final answer
    x = 2,711.18

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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.