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Finding the Fourth Proportional to 2,081.56, 2,872.44 and 1,150

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Solution

The fourth proportional to 2,081.56, 2,872.44 and 1,150 is: 1,586.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.56 : 2,872.44 = 1,150 : x
  2. Step 2: Convert to fraction form
    2,081.56/2,872.44 = 1,150/x
  3. Step 3: Cross multiply
    2,081.56x = 2,872.44 × 1,150
  4. Step 4: Simplify right side
    2,081.56x = 3,303,306
  5. Step 5: Solve for x
    x = 3,303,306/2,081.56
  6. Step 6: Final answer
    x = 1,586.94

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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.