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Finding the Fourth Proportional to 2,805.79, 3,872.02 and 1,546.90

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Solution

The fourth proportional to 2,805.79, 3,872.02 and 1,546.90 is: 2,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.79 : 3,872.02 = 1,546.90 : x
  2. Step 2: Convert to fraction form
    2,805.79/3,872.02 = 1,546.90/x
  3. Step 3: Cross multiply
    2,805.79x = 3,872.02 × 1,546.90
  4. Step 4: Simplify right side
    2,805.79x = 5,989,608.38
  5. Step 5: Solve for x
    x = 5,989,608.38/2,805.79
  6. Step 6: Final answer
    x = 2,134.73

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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.