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Finding the Fourth Proportional to 2,065.87, 2,850.48 and 1,181.97

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Solution

The fourth proportional to 2,065.87, 2,850.48 and 1,181.97 is: 1,630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.87 : 2,850.48 = 1,181.97 : x
  2. Step 2: Convert to fraction form
    2,065.87/2,850.48 = 1,181.97/x
  3. Step 3: Cross multiply
    2,065.87x = 2,850.48 × 1,181.97
  4. Step 4: Simplify right side
    2,065.87x = 3,369,181.85
  5. Step 5: Solve for x
    x = 3,369,181.85/2,065.87
  6. Step 6: Final answer
    x = 1,630.88

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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.