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Finding the Fourth Proportional to 2,162.13, 2,983.73 and 1,230.81

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Solution

The fourth proportional to 2,162.13, 2,983.73 and 1,230.81 is: 1,698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.13 : 2,983.73 = 1,230.81 : x
  2. Step 2: Convert to fraction form
    2,162.13/2,983.73 = 1,230.81/x
  3. Step 3: Cross multiply
    2,162.13x = 2,983.73 × 1,230.81
  4. Step 4: Simplify right side
    2,162.13x = 3,672,404.72
  5. Step 5: Solve for x
    x = 3,672,404.72/2,162.13
  6. Step 6: Final answer
    x = 1,698.51

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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.