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Finding the Fourth Proportional to 2,834.64, 4,251.32 and 2,458.32

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Solution

The fourth proportional to 2,834.64, 4,251.32 and 2,458.32 is: 3,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.64 : 4,251.32 = 2,458.32 : x
  2. Step 2: Convert to fraction form
    2,834.64/4,251.32 = 2,458.32/x
  3. Step 3: Cross multiply
    2,834.64x = 4,251.32 × 2,458.32
  4. Step 4: Simplify right side
    2,834.64x = 10,451,104.98
  5. Step 5: Solve for x
    x = 10,451,104.98/2,834.64
  6. Step 6: Final answer
    x = 3,686.92

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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.