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Finding the Fourth Proportional to 2,894.68, 4,342.24 and 1,163.32

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Solution

The fourth proportional to 2,894.68, 4,342.24 and 1,163.32 is: 1,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.68 : 4,342.24 = 1,163.32 : x
  2. Step 2: Convert to fraction form
    2,894.68/4,342.24 = 1,163.32/x
  3. Step 3: Cross multiply
    2,894.68x = 4,342.24 × 1,163.32
  4. Step 4: Simplify right side
    2,894.68x = 5,051,414.64
  5. Step 5: Solve for x
    x = 5,051,414.64/2,894.68
  6. Step 6: Final answer
    x = 1,745.07

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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.