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Finding the Fourth Proportional to 2,249.40, 3,114.54 and 2,134.20

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Solution

The fourth proportional to 2,249.40, 3,114.54 and 2,134.20 is: 2,955.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.40 : 3,114.54 = 2,134.20 : x
  2. Step 2: Convert to fraction form
    2,249.40/3,114.54 = 2,134.20/x
  3. Step 3: Cross multiply
    2,249.40x = 3,114.54 × 2,134.20
  4. Step 4: Simplify right side
    2,249.40x = 6,647,051.27
  5. Step 5: Solve for x
    x = 6,647,051.27/2,249.40
  6. Step 6: Final answer
    x = 2,955.03

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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.