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Finding the Fourth Proportional to 2,366.81, 3,550.56 and 723.14

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Solution

The fourth proportional to 2,366.81, 3,550.56 and 723.14 is: 1,084.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.81 : 3,550.56 = 723.14 : x
  2. Step 2: Convert to fraction form
    2,366.81/3,550.56 = 723.14/x
  3. Step 3: Cross multiply
    2,366.81x = 3,550.56 × 723.14
  4. Step 4: Simplify right side
    2,366.81x = 2,567,560.83
  5. Step 5: Solve for x
    x = 2,567,560.83/2,366.81
  6. Step 6: Final answer
    x = 1,084.82

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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.