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Finding the Fourth Proportional to 2,960.71, 4,081.05 and 2,016.18

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Solution

The fourth proportional to 2,960.71, 4,081.05 and 2,016.18 is: 2,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.71 : 4,081.05 = 2,016.18 : x
  2. Step 2: Convert to fraction form
    2,960.71/4,081.05 = 2,016.18/x
  3. Step 3: Cross multiply
    2,960.71x = 4,081.05 × 2,016.18
  4. Step 4: Simplify right side
    2,960.71x = 8,228,131.39
  5. Step 5: Solve for x
    x = 8,228,131.39/2,960.71
  6. Step 6: Final answer
    x = 2,779.11

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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.