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Finding the Fourth Proportional to 2,463.98, 3,399.03 and 1,468.42

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Solution

The fourth proportional to 2,463.98, 3,399.03 and 1,468.42 is: 2,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463.98 : 3,399.03 = 1,468.42 : x
  2. Step 2: Convert to fraction form
    2,463.98/3,399.03 = 1,468.42/x
  3. Step 3: Cross multiply
    2,463.98x = 3,399.03 × 1,468.42
  4. Step 4: Simplify right side
    2,463.98x = 4,991,195.14
  5. Step 5: Solve for x
    x = 4,991,195.14/2,463.98
  6. Step 6: Final answer
    x = 2,025.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.