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Finding the Fourth Proportional to 2,894.76, 4,340.70 and 1,163.34

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Solution

The fourth proportional to 2,894.76, 4,340.70 and 1,163.34 is: 1,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.76 : 4,340.70 = 1,163.34 : x
  2. Step 2: Convert to fraction form
    2,894.76/4,340.70 = 1,163.34/x
  3. Step 3: Cross multiply
    2,894.76x = 4,340.70 × 1,163.34
  4. Step 4: Simplify right side
    2,894.76x = 5,049,709.94
  5. Step 5: Solve for x
    x = 5,049,709.94/2,894.76
  6. Step 6: Final answer
    x = 1,744.43

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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.