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Finding the Fourth Proportional to 2,366.83, 3,550.25 and 723.37

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Solution

The fourth proportional to 2,366.83, 3,550.25 and 723.37 is: 1,085.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.83 : 3,550.25 = 723.37 : x
  2. Step 2: Convert to fraction form
    2,366.83/3,550.25 = 723.37/x
  3. Step 3: Cross multiply
    2,366.83x = 3,550.25 × 723.37
  4. Step 4: Simplify right side
    2,366.83x = 2,568,148.62
  5. Step 5: Solve for x
    x = 2,568,148.62/2,366.83
  6. Step 6: Final answer
    x = 1,085.06

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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.