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Finding the Fourth Proportional to 3,089.70, 4,262.31 and 2,249.10

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Solution

The fourth proportional to 3,089.70, 4,262.31 and 2,249.10 is: 3,102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.70 : 4,262.31 = 2,249.10 : x
  2. Step 2: Convert to fraction form
    3,089.70/4,262.31 = 2,249.10/x
  3. Step 3: Cross multiply
    3,089.70x = 4,262.31 × 2,249.10
  4. Step 4: Simplify right side
    3,089.70x = 9,586,361.42
  5. Step 5: Solve for x
    x = 9,586,361.42/3,089.70
  6. Step 6: Final answer
    x = 3,102.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.