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Finding the Fourth Proportional to 1,768.29, 2,652.87 and 1,249.31

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Solution

The fourth proportional to 1,768.29, 2,652.87 and 1,249.31 is: 1,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.29 : 2,652.87 = 1,249.31 : x
  2. Step 2: Convert to fraction form
    1,768.29/2,652.87 = 1,249.31/x
  3. Step 3: Cross multiply
    1,768.29x = 2,652.87 × 1,249.31
  4. Step 4: Simplify right side
    1,768.29x = 3,314,257.02
  5. Step 5: Solve for x
    x = 3,314,257.02/1,768.29
  6. Step 6: Final answer
    x = 1,874.27

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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.