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Finding the Fourth Proportional to 2,961.51, 4,084.41 and 2,217.24

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Solution

The fourth proportional to 2,961.51, 4,084.41 and 2,217.24 is: 3,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,961.51 : 4,084.41 = 2,217.24 : x
  2. Step 2: Convert to fraction form
    2,961.51/4,084.41 = 2,217.24/x
  3. Step 3: Cross multiply
    2,961.51x = 4,084.41 × 2,217.24
  4. Step 4: Simplify right side
    2,961.51x = 9,056,117.23
  5. Step 5: Solve for x
    x = 9,056,117.23/2,961.51
  6. Step 6: Final answer
    x = 3,057.94

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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.