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Finding the Fourth Proportional to 2,564.68, 3,847.74 and 1,640.20

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Solution

The fourth proportional to 2,564.68, 3,847.74 and 1,640.20 is: 2,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.68 : 3,847.74 = 1,640.20 : x
  2. Step 2: Convert to fraction form
    2,564.68/3,847.74 = 1,640.20/x
  3. Step 3: Cross multiply
    2,564.68x = 3,847.74 × 1,640.20
  4. Step 4: Simplify right side
    2,564.68x = 6,311,063.15
  5. Step 5: Solve for x
    x = 6,311,063.15/2,564.68
  6. Step 6: Final answer
    x = 2,460.76

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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.