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Finding the Fourth Proportional to 2,235.87, 3,346.56 and 1,193.27

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Solution

The fourth proportional to 2,235.87, 3,346.56 and 1,193.27 is: 1,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.87 : 3,346.56 = 1,193.27 : x
  2. Step 2: Convert to fraction form
    2,235.87/3,346.56 = 1,193.27/x
  3. Step 3: Cross multiply
    2,235.87x = 3,346.56 × 1,193.27
  4. Step 4: Simplify right side
    2,235.87x = 3,993,332.92
  5. Step 5: Solve for x
    x = 3,993,332.92/2,235.87
  6. Step 6: Final answer
    x = 1,786.03

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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.