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Finding the Fourth Proportional to 1,974.54, 2,725.11 and 1,275.42

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Solution

The fourth proportional to 1,974.54, 2,725.11 and 1,275.42 is: 1,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.54 : 2,725.11 = 1,275.42 : x
  2. Step 2: Convert to fraction form
    1,974.54/2,725.11 = 1,275.42/x
  3. Step 3: Cross multiply
    1,974.54x = 2,725.11 × 1,275.42
  4. Step 4: Simplify right side
    1,974.54x = 3,475,659.80
  5. Step 5: Solve for x
    x = 3,475,659.80/1,974.54
  6. Step 6: Final answer
    x = 1,760.24

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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.