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Finding the Fourth Proportional to 1,766.49, 2,650.17 and 1,247.51

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Solution

The fourth proportional to 1,766.49, 2,650.17 and 1,247.51 is: 1,871.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.49 : 2,650.17 = 1,247.51 : x
  2. Step 2: Convert to fraction form
    1,766.49/2,650.17 = 1,247.51/x
  3. Step 3: Cross multiply
    1,766.49x = 2,650.17 × 1,247.51
  4. Step 4: Simplify right side
    1,766.49x = 3,306,100.33
  5. Step 5: Solve for x
    x = 3,306,100.33/1,766.49
  6. Step 6: Final answer
    x = 1,871.56

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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.