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Finding the Fourth Proportional to 2,454.88, 3,678 and 1,301.44

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Solution

The fourth proportional to 2,454.88, 3,678 and 1,301.44 is: 1,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.88 : 3,678 = 1,301.44 : x
  2. Step 2: Convert to fraction form
    2,454.88/3,678 = 1,301.44/x
  3. Step 3: Cross multiply
    2,454.88x = 3,678 × 1,301.44
  4. Step 4: Simplify right side
    2,454.88x = 4,786,696.32
  5. Step 5: Solve for x
    x = 4,786,696.32/2,454.88
  6. Step 6: Final answer
    x = 1,949.87

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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.