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Finding the Fourth Proportional to 2,367.37, 3,551.61 and 723.97

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Solution

The fourth proportional to 2,367.37, 3,551.61 and 723.97 is: 1,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.37 : 3,551.61 = 723.97 : x
  2. Step 2: Convert to fraction form
    2,367.37/3,551.61 = 723.97/x
  3. Step 3: Cross multiply
    2,367.37x = 3,551.61 × 723.97
  4. Step 4: Simplify right side
    2,367.37x = 2,571,259.09
  5. Step 5: Solve for x
    x = 2,571,259.09/2,367.37
  6. Step 6: Final answer
    x = 1,086.12

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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.