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Finding the Fourth Proportional to 2,974.74, 4,104.91 and 1,648.34

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Solution

The fourth proportional to 2,974.74, 4,104.91 and 1,648.34 is: 2,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.74 : 4,104.91 = 1,648.34 : x
  2. Step 2: Convert to fraction form
    2,974.74/4,104.91 = 1,648.34/x
  3. Step 3: Cross multiply
    2,974.74x = 4,104.91 × 1,648.34
  4. Step 4: Simplify right side
    2,974.74x = 6,766,287.35
  5. Step 5: Solve for x
    x = 6,766,287.35/2,974.74
  6. Step 6: Final answer
    x = 2,274.58

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