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Finding the Fourth Proportional to 2,207.49, 3,314.81 and 2,096.48

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Solution

The fourth proportional to 2,207.49, 3,314.81 and 2,096.48 is: 3,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.49 : 3,314.81 = 2,096.48 : x
  2. Step 2: Convert to fraction form
    2,207.49/3,314.81 = 2,096.48/x
  3. Step 3: Cross multiply
    2,207.49x = 3,314.81 × 2,096.48
  4. Step 4: Simplify right side
    2,207.49x = 6,949,434.60
  5. Step 5: Solve for x
    x = 6,949,434.60/2,207.49
  6. Step 6: Final answer
    x = 3,148.12

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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.