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Finding the Fourth Proportional to 2,847.68, 4,270.64 and 1,204.20

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Solution

The fourth proportional to 2,847.68, 4,270.64 and 1,204.20 is: 1,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.68 : 4,270.64 = 1,204.20 : x
  2. Step 2: Convert to fraction form
    2,847.68/4,270.64 = 1,204.20/x
  3. Step 3: Cross multiply
    2,847.68x = 4,270.64 × 1,204.20
  4. Step 4: Simplify right side
    2,847.68x = 5,142,704.69
  5. Step 5: Solve for x
    x = 5,142,704.69/2,847.68
  6. Step 6: Final answer
    x = 1,805.93

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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.