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Finding the Fourth Proportional to 2,085.68, 2,891.40 and 1,974.71

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Solution

The fourth proportional to 2,085.68, 2,891.40 and 1,974.71 is: 2,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.68 : 2,891.40 = 1,974.71 : x
  2. Step 2: Convert to fraction form
    2,085.68/2,891.40 = 1,974.71/x
  3. Step 3: Cross multiply
    2,085.68x = 2,891.40 × 1,974.71
  4. Step 4: Simplify right side
    2,085.68x = 5,709,662.04
  5. Step 5: Solve for x
    x = 5,709,662.04/2,085.68
  6. Step 6: Final answer
    x = 2,737.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.