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Finding the Fourth Proportional to 2,768.96, 3,824.35 and 2,016.11

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Solution

The fourth proportional to 2,768.96, 3,824.35 and 2,016.11 is: 2,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.96 : 3,824.35 = 2,016.11 : x
  2. Step 2: Convert to fraction form
    2,768.96/3,824.35 = 2,016.11/x
  3. Step 3: Cross multiply
    2,768.96x = 3,824.35 × 2,016.11
  4. Step 4: Simplify right side
    2,768.96x = 7,710,304.02
  5. Step 5: Solve for x
    x = 7,710,304.02/2,768.96
  6. Step 6: Final answer
    x = 2,784.55

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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.