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Finding the Fourth Proportional to 2,773.62, 3,825.75 and 2,016.13

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Solution

The fourth proportional to 2,773.62, 3,825.75 and 2,016.13 is: 2,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.62 : 3,825.75 = 2,016.13 : x
  2. Step 2: Convert to fraction form
    2,773.62/3,825.75 = 2,016.13/x
  3. Step 3: Cross multiply
    2,773.62x = 3,825.75 × 2,016.13
  4. Step 4: Simplify right side
    2,773.62x = 7,713,209.35
  5. Step 5: Solve for x
    x = 7,713,209.35/2,773.62
  6. Step 6: Final answer
    x = 2,780.92

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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.