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Finding the Fourth Proportional to 1,974.92, 2,725.31 and 1,301.90

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Solution

The fourth proportional to 1,974.92, 2,725.31 and 1,301.90 is: 1,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.92 : 2,725.31 = 1,301.90 : x
  2. Step 2: Convert to fraction form
    1,974.92/2,725.31 = 1,301.90/x
  3. Step 3: Cross multiply
    1,974.92x = 2,725.31 × 1,301.90
  4. Step 4: Simplify right side
    1,974.92x = 3,548,070.72
  5. Step 5: Solve for x
    x = 3,548,070.72/1,974.92
  6. Step 6: Final answer
    x = 1,796.57

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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.