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Finding the Fourth Proportional to 2,362.81, 3,544.68 and 1,324.28

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Solution

The fourth proportional to 2,362.81, 3,544.68 and 1,324.28 is: 1,986.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.81 : 3,544.68 = 1,324.28 : x
  2. Step 2: Convert to fraction form
    2,362.81/3,544.68 = 1,324.28/x
  3. Step 3: Cross multiply
    2,362.81x = 3,544.68 × 1,324.28
  4. Step 4: Simplify right side
    2,362.81x = 4,694,148.83
  5. Step 5: Solve for x
    x = 4,694,148.83/2,362.81
  6. Step 6: Final answer
    x = 1,986.68

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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.