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Finding the Fourth Proportional to 2,894.78, 4,342.20 and 1,163

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Solution

The fourth proportional to 2,894.78, 4,342.20 and 1,163 is: 1,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.78 : 4,342.20 = 1,163 : x
  2. Step 2: Convert to fraction form
    2,894.78/4,342.20 = 1,163/x
  3. Step 3: Cross multiply
    2,894.78x = 4,342.20 × 1,163
  4. Step 4: Simplify right side
    2,894.78x = 5,049,978.60
  5. Step 5: Solve for x
    x = 5,049,978.60/2,894.78
  6. Step 6: Final answer
    x = 1,744.51

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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.