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Finding the Fourth Proportional to 2,462.09, 3,396.87 and 1,399.73

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Solution

The fourth proportional to 2,462.09, 3,396.87 and 1,399.73 is: 1,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.09 : 3,396.87 = 1,399.73 : x
  2. Step 2: Convert to fraction form
    2,462.09/3,396.87 = 1,399.73/x
  3. Step 3: Cross multiply
    2,462.09x = 3,396.87 × 1,399.73
  4. Step 4: Simplify right side
    2,462.09x = 4,754,700.85
  5. Step 5: Solve for x
    x = 4,754,700.85/2,462.09
  6. Step 6: Final answer
    x = 1,931.16

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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.