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Finding the Fourth Proportional to 2,399.72, 3,597.81 and 755.33

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Solution

The fourth proportional to 2,399.72, 3,597.81 and 755.33 is: 1,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.72 : 3,597.81 = 755.33 : x
  2. Step 2: Convert to fraction form
    2,399.72/3,597.81 = 755.33/x
  3. Step 3: Cross multiply
    2,399.72x = 3,597.81 × 755.33
  4. Step 4: Simplify right side
    2,399.72x = 2,717,533.83
  5. Step 5: Solve for x
    x = 2,717,533.83/2,399.72
  6. Step 6: Final answer
    x = 1,132.44

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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.