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Finding the Fourth Proportional to 2,174.27, 3,261.40 and 787.57

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Solution

The fourth proportional to 2,174.27, 3,261.40 and 787.57 is: 1,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.27 : 3,261.40 = 787.57 : x
  2. Step 2: Convert to fraction form
    2,174.27/3,261.40 = 787.57/x
  3. Step 3: Cross multiply
    2,174.27x = 3,261.40 × 787.57
  4. Step 4: Simplify right side
    2,174.27x = 2,568,570.68
  5. Step 5: Solve for x
    x = 2,568,570.68/2,174.27
  6. Step 6: Final answer
    x = 1,181.35

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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.