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Finding the Fourth Proportional to 2,754.42, 3,801.09 and 1,759.38

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Solution

The fourth proportional to 2,754.42, 3,801.09 and 1,759.38 is: 2,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.42 : 3,801.09 = 1,759.38 : x
  2. Step 2: Convert to fraction form
    2,754.42/3,801.09 = 1,759.38/x
  3. Step 3: Cross multiply
    2,754.42x = 3,801.09 × 1,759.38
  4. Step 4: Simplify right side
    2,754.42x = 6,687,561.72
  5. Step 5: Solve for x
    x = 6,687,561.72/2,754.42
  6. Step 6: Final answer
    x = 2,427.94

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1.5x scale

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.