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Finding the Fourth Proportional to 2,687.12, 3,708.15 and 1,568.10

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Solution

The fourth proportional to 2,687.12, 3,708.15 and 1,568.10 is: 2,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,687.12 : 3,708.15 = 1,568.10 : x
  2. Step 2: Convert to fraction form
    2,687.12/3,708.15 = 1,568.10/x
  3. Step 3: Cross multiply
    2,687.12x = 3,708.15 × 1,568.10
  4. Step 4: Simplify right side
    2,687.12x = 5,814,750.02
  5. Step 5: Solve for x
    x = 5,814,750.02/2,687.12
  6. Step 6: Final answer
    x = 2,163.94

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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.