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Finding the Fourth Proportional to 2,581.76, 3,872.78 and 733.02

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Solution

The fourth proportional to 2,581.76, 3,872.78 and 733.02 is: 1,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.76 : 3,872.78 = 733.02 : x
  2. Step 2: Convert to fraction form
    2,581.76/3,872.78 = 733.02/x
  3. Step 3: Cross multiply
    2,581.76x = 3,872.78 × 733.02
  4. Step 4: Simplify right side
    2,581.76x = 2,838,825.20
  5. Step 5: Solve for x
    x = 2,838,825.20/2,581.76
  6. Step 6: Final answer
    x = 1,099.57

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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.