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Finding the Fourth Proportional to 1,797.42, 2,680.71 and 1,760.88

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Solution

The fourth proportional to 1,797.42, 2,680.71 and 1,760.88 is: 2,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.42 : 2,680.71 = 1,760.88 : x
  2. Step 2: Convert to fraction form
    1,797.42/2,680.71 = 1,760.88/x
  3. Step 3: Cross multiply
    1,797.42x = 2,680.71 × 1,760.88
  4. Step 4: Simplify right side
    1,797.42x = 4,720,408.62
  5. Step 5: Solve for x
    x = 4,720,408.62/1,797.42
  6. Step 6: Final answer
    x = 2,626.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.