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Finding the Fourth Proportional to 2,362.56, 3,550.32 and 2,228.37

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Solution

The fourth proportional to 2,362.56, 3,550.32 and 2,228.37 is: 3,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.56 : 3,550.32 = 2,228.37 : x
  2. Step 2: Convert to fraction form
    2,362.56/3,550.32 = 2,228.37/x
  3. Step 3: Cross multiply
    2,362.56x = 3,550.32 × 2,228.37
  4. Step 4: Simplify right side
    2,362.56x = 7,911,426.58
  5. Step 5: Solve for x
    x = 7,911,426.58/2,362.56
  6. Step 6: Final answer
    x = 3,348.67

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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.