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Finding the Fourth Proportional to 2,847.75, 4,273.71 and 1,462.24

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Solution

The fourth proportional to 2,847.75, 4,273.71 and 1,462.24 is: 2,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.75 : 4,273.71 = 1,462.24 : x
  2. Step 2: Convert to fraction form
    2,847.75/4,273.71 = 1,462.24/x
  3. Step 3: Cross multiply
    2,847.75x = 4,273.71 × 1,462.24
  4. Step 4: Simplify right side
    2,847.75x = 6,249,189.71
  5. Step 5: Solve for x
    x = 6,249,189.71/2,847.75
  6. Step 6: Final answer
    x = 2,194.43

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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.