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Finding the Fourth Proportional to 1,974.82, 2,723.36 and 1,525.97

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Solution

The fourth proportional to 1,974.82, 2,723.36 and 1,525.97 is: 2,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.82 : 2,723.36 = 1,525.97 : x
  2. Step 2: Convert to fraction form
    1,974.82/2,723.36 = 1,525.97/x
  3. Step 3: Cross multiply
    1,974.82x = 2,723.36 × 1,525.97
  4. Step 4: Simplify right side
    1,974.82x = 4,155,769.32
  5. Step 5: Solve for x
    x = 4,155,769.32/1,974.82
  6. Step 6: Final answer
    x = 2,104.38

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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.