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Finding the Fourth Proportional to 2,452.94, 3,680.12 and 721.56

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Solution

The fourth proportional to 2,452.94, 3,680.12 and 721.56 is: 1,082.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.94 : 3,680.12 = 721.56 : x
  2. Step 2: Convert to fraction form
    2,452.94/3,680.12 = 721.56/x
  3. Step 3: Cross multiply
    2,452.94x = 3,680.12 × 721.56
  4. Step 4: Simplify right side
    2,452.94x = 2,655,427.39
  5. Step 5: Solve for x
    x = 2,655,427.39/2,452.94
  6. Step 6: Final answer
    x = 1,082.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.