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Finding the Fourth Proportional to 1,568.38, 2,163.14 and 1,096.12

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Solution

The fourth proportional to 1,568.38, 2,163.14 and 1,096.12 is: 1,511.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.38 : 2,163.14 = 1,096.12 : x
  2. Step 2: Convert to fraction form
    1,568.38/2,163.14 = 1,096.12/x
  3. Step 3: Cross multiply
    1,568.38x = 2,163.14 × 1,096.12
  4. Step 4: Simplify right side
    1,568.38x = 2,371,061.02
  5. Step 5: Solve for x
    x = 2,371,061.02/1,568.38
  6. Step 6: Final answer
    x = 1,511.79

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Why These Related Problems?

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