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Finding the Fourth Proportional to 2,112.97, 2,916.72 and 1,891.53

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Solution

The fourth proportional to 2,112.97, 2,916.72 and 1,891.53 is: 2,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.97 : 2,916.72 = 1,891.53 : x
  2. Step 2: Convert to fraction form
    2,112.97/2,916.72 = 1,891.53/x
  3. Step 3: Cross multiply
    2,112.97x = 2,916.72 × 1,891.53
  4. Step 4: Simplify right side
    2,112.97x = 5,517,063.38
  5. Step 5: Solve for x
    x = 5,517,063.38/2,112.97
  6. Step 6: Final answer
    x = 2,611.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.