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Finding the Fourth Proportional to 2,240.34, 3,361.09 and 2,099.65

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Solution

The fourth proportional to 2,240.34, 3,361.09 and 2,099.65 is: 3,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.34 : 3,361.09 = 2,099.65 : x
  2. Step 2: Convert to fraction form
    2,240.34/3,361.09 = 2,099.65/x
  3. Step 3: Cross multiply
    2,240.34x = 3,361.09 × 2,099.65
  4. Step 4: Simplify right side
    2,240.34x = 7,057,095.81
  5. Step 5: Solve for x
    x = 7,057,095.81/2,240.34
  6. Step 6: Final answer
    x = 3,150.02

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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.