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Finding the Fourth Proportional to 2,471.91, 3,404.37 and 2,287.23

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Solution

The fourth proportional to 2,471.91, 3,404.37 and 2,287.23 is: 3,150.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.91 : 3,404.37 = 2,287.23 : x
  2. Step 2: Convert to fraction form
    2,471.91/3,404.37 = 2,287.23/x
  3. Step 3: Cross multiply
    2,471.91x = 3,404.37 × 2,287.23
  4. Step 4: Simplify right side
    2,471.91x = 7,786,577.20
  5. Step 5: Solve for x
    x = 7,786,577.20/2,471.91
  6. Step 6: Final answer
    x = 3,150.02

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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.