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Finding the Fourth Proportional to 2,687.33, 3,709.07 and 1,568.38

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Solution

The fourth proportional to 2,687.33, 3,709.07 and 1,568.38 is: 2,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.33 : 3,709.07 = 1,568.38 : x
  2. Step 2: Convert to fraction form
    2,687.33/3,709.07 = 1,568.38/x
  3. Step 3: Cross multiply
    2,687.33x = 3,709.07 × 1,568.38
  4. Step 4: Simplify right side
    2,687.33x = 5,817,216.79
  5. Step 5: Solve for x
    x = 5,817,216.79/2,687.33
  6. Step 6: Final answer
    x = 2,164.68

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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.