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Finding the Fourth Proportional to 2,974.74, 4,105.38 and 1,648.56

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Solution

The fourth proportional to 2,974.74, 4,105.38 and 1,648.56 is: 2,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.74 : 4,105.38 = 1,648.56 : x
  2. Step 2: Convert to fraction form
    2,974.74/4,105.38 = 1,648.56/x
  3. Step 3: Cross multiply
    2,974.74x = 4,105.38 × 1,648.56
  4. Step 4: Simplify right side
    2,974.74x = 6,767,965.25
  5. Step 5: Solve for x
    x = 6,767,965.25/2,974.74
  6. Step 6: Final answer
    x = 2,275.15

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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.