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Finding the Fourth Proportional to 2,855.32, 3,938.96 and 2,016.16

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Solution

The fourth proportional to 2,855.32, 3,938.96 and 2,016.16 is: 2,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.32 : 3,938.96 = 2,016.16 : x
  2. Step 2: Convert to fraction form
    2,855.32/3,938.96 = 2,016.16/x
  3. Step 3: Cross multiply
    2,855.32x = 3,938.96 × 2,016.16
  4. Step 4: Simplify right side
    2,855.32x = 7,941,573.59
  5. Step 5: Solve for x
    x = 7,941,573.59/2,855.32
  6. Step 6: Final answer
    x = 2,781.33

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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.