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Finding the Fourth Proportional to 2,174.74, 3,261.26 and 787.66

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Solution

The fourth proportional to 2,174.74, 3,261.26 and 787.66 is: 1,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.74 : 3,261.26 = 787.66 : x
  2. Step 2: Convert to fraction form
    2,174.74/3,261.26 = 787.66/x
  3. Step 3: Cross multiply
    2,174.74x = 3,261.26 × 787.66
  4. Step 4: Simplify right side
    2,174.74x = 2,568,764.05
  5. Step 5: Solve for x
    x = 2,568,764.05/2,174.74
  6. Step 6: Final answer
    x = 1,181.18

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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.