Home / 1,568.14-2,163.93-905.02

Finding the Fourth Proportional to 1,568.14, 2,163.93 and 905.02

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Solution

The fourth proportional to 1,568.14, 2,163.93 and 905.02 is: 1,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.14 : 2,163.93 = 905.02 : x
  2. Step 2: Convert to fraction form
    1,568.14/2,163.93 = 905.02/x
  3. Step 3: Cross multiply
    1,568.14x = 2,163.93 × 905.02
  4. Step 4: Simplify right side
    1,568.14x = 1,958,399.93
  5. Step 5: Solve for x
    x = 1,958,399.93/1,568.14
  6. Step 6: Final answer
    x = 1,248.87

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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.