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Finding the Fourth Proportional to 2,462.96, 3,399.48 and 1,520.12

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Solution

The fourth proportional to 2,462.96, 3,399.48 and 1,520.12 is: 2,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.96 : 3,399.48 = 1,520.12 : x
  2. Step 2: Convert to fraction form
    2,462.96/3,399.48 = 1,520.12/x
  3. Step 3: Cross multiply
    2,462.96x = 3,399.48 × 1,520.12
  4. Step 4: Simplify right side
    2,462.96x = 5,167,617.54
  5. Step 5: Solve for x
    x = 5,167,617.54/2,462.96
  6. Step 6: Final answer
    x = 2,098.13

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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.