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Finding the Fourth Proportional to 2,399.46, 3,596.10 and 1,164.48

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Solution

The fourth proportional to 2,399.46, 3,596.10 and 1,164.48 is: 1,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.46 : 3,596.10 = 1,164.48 : x
  2. Step 2: Convert to fraction form
    2,399.46/3,596.10 = 1,164.48/x
  3. Step 3: Cross multiply
    2,399.46x = 3,596.10 × 1,164.48
  4. Step 4: Simplify right side
    2,399.46x = 4,187,586.53
  5. Step 5: Solve for x
    x = 4,187,586.53/2,399.46
  6. Step 6: Final answer
    x = 1,745.22

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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.