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Finding the Fourth Proportional to 2,367.20, 3,550.68 and 906.24

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Solution

The fourth proportional to 2,367.20, 3,550.68 and 906.24 is: 1,359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.20 : 3,550.68 = 906.24 : x
  2. Step 2: Convert to fraction form
    2,367.20/3,550.68 = 906.24/x
  3. Step 3: Cross multiply
    2,367.20x = 3,550.68 × 906.24
  4. Step 4: Simplify right side
    2,367.20x = 3,217,768.24
  5. Step 5: Solve for x
    x = 3,217,768.24/2,367.20
  6. Step 6: Final answer
    x = 1,359.31

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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.