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Finding the Fourth Proportional to 2,673.14, 3,687.73 and 1,568.50

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Solution

The fourth proportional to 2,673.14, 3,687.73 and 1,568.50 is: 2,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.14 : 3,687.73 = 1,568.50 : x
  2. Step 2: Convert to fraction form
    2,673.14/3,687.73 = 1,568.50/x
  3. Step 3: Cross multiply
    2,673.14x = 3,687.73 × 1,568.50
  4. Step 4: Simplify right side
    2,673.14x = 5,784,204.51
  5. Step 5: Solve for x
    x = 5,784,204.51/2,673.14
  6. Step 6: Final answer
    x = 2,163.82

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