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Finding the Fourth Proportional to 2,754.84, 4,150.90 and 2,278.56

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Solution

The fourth proportional to 2,754.84, 4,150.90 and 2,278.56 is: 3,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.84 : 4,150.90 = 2,278.56 : x
  2. Step 2: Convert to fraction form
    2,754.84/4,150.90 = 2,278.56/x
  3. Step 3: Cross multiply
    2,754.84x = 4,150.90 × 2,278.56
  4. Step 4: Simplify right side
    2,754.84x = 9,458,074.70
  5. Step 5: Solve for x
    x = 9,458,074.70/2,754.84
  6. Step 6: Final answer
    x = 3,433.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.