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Finding the Fourth Proportional to 2,162.05, 2,982.41 and 1,462.21

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Solution

The fourth proportional to 2,162.05, 2,982.41 and 1,462.21 is: 2,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.05 : 2,982.41 = 1,462.21 : x
  2. Step 2: Convert to fraction form
    2,162.05/2,982.41 = 1,462.21/x
  3. Step 3: Cross multiply
    2,162.05x = 2,982.41 × 1,462.21
  4. Step 4: Simplify right side
    2,162.05x = 4,360,909.73
  5. Step 5: Solve for x
    x = 4,360,909.73/2,162.05
  6. Step 6: Final answer
    x = 2,017.03

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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.