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Finding the Fourth Proportional to 2,568.58, 3,847.87 and 2,100.67

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Solution

The fourth proportional to 2,568.58, 3,847.87 and 2,100.67 is: 3,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.58 : 3,847.87 = 2,100.67 : x
  2. Step 2: Convert to fraction form
    2,568.58/3,847.87 = 2,100.67/x
  3. Step 3: Cross multiply
    2,568.58x = 3,847.87 × 2,100.67
  4. Step 4: Simplify right side
    2,568.58x = 8,083,098.08
  5. Step 5: Solve for x
    x = 8,083,098.08/2,568.58
  6. Step 6: Final answer
    x = 3,146.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.