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Finding the Fourth Proportional to 3,104, 4,656 and 1,348.78

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Solution

The fourth proportional to 3,104, 4,656 and 1,348.78 is: 2,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104 : 4,656 = 1,348.78 : x
  2. Step 2: Convert to fraction form
    3,104/4,656 = 1,348.78/x
  3. Step 3: Cross multiply
    3,104x = 4,656 × 1,348.78
  4. Step 4: Simplify right side
    3,104x = 6,279,919.68
  5. Step 5: Solve for x
    x = 6,279,919.68/3,104
  6. Step 6: Final answer
    x = 2,023.17

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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.