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Finding the Fourth Proportional to 2,649.60, 3,974.12 and 701.82

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Solution

The fourth proportional to 2,649.60, 3,974.12 and 701.82 is: 1,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.60 : 3,974.12 = 701.82 : x
  2. Step 2: Convert to fraction form
    2,649.60/3,974.12 = 701.82/x
  3. Step 3: Cross multiply
    2,649.60x = 3,974.12 × 701.82
  4. Step 4: Simplify right side
    2,649.60x = 2,789,116.90
  5. Step 5: Solve for x
    x = 2,789,116.90/2,649.60
  6. Step 6: Final answer
    x = 1,052.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.