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Finding the Fourth Proportional to 2,974.78, 4,104.91 and 1,648.47

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Solution

The fourth proportional to 2,974.78, 4,104.91 and 1,648.47 is: 2,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.78 : 4,104.91 = 1,648.47 : x
  2. Step 2: Convert to fraction form
    2,974.78/4,104.91 = 1,648.47/x
  3. Step 3: Cross multiply
    2,974.78x = 4,104.91 × 1,648.47
  4. Step 4: Simplify right side
    2,974.78x = 6,766,820.99
  5. Step 5: Solve for x
    x = 6,766,820.99/2,974.78
  6. Step 6: Final answer
    x = 2,274.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.