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Finding the Fourth Proportional to 2,291.44, 3,438.54 and 2,105.56

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Solution

The fourth proportional to 2,291.44, 3,438.54 and 2,105.56 is: 3,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.44 : 3,438.54 = 2,105.56 : x
  2. Step 2: Convert to fraction form
    2,291.44/3,438.54 = 2,105.56/x
  3. Step 3: Cross multiply
    2,291.44x = 3,438.54 × 2,105.56
  4. Step 4: Simplify right side
    2,291.44x = 7,240,052.28
  5. Step 5: Solve for x
    x = 7,240,052.28/2,291.44
  6. Step 6: Final answer
    x = 3,159.61

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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.