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Finding the Fourth Proportional to 2,162.30, 3,243.90 and 930.02

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Solution

The fourth proportional to 2,162.30, 3,243.90 and 930.02 is: 1,395.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.30 : 3,243.90 = 930.02 : x
  2. Step 2: Convert to fraction form
    2,162.30/3,243.90 = 930.02/x
  3. Step 3: Cross multiply
    2,162.30x = 3,243.90 × 930.02
  4. Step 4: Simplify right side
    2,162.30x = 3,016,891.88
  5. Step 5: Solve for x
    x = 3,016,891.88/2,162.30
  6. Step 6: Final answer
    x = 1,395.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.