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Finding the Fourth Proportional to 2,162.28, 3,239.18 and 1,034.94

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Solution

The fourth proportional to 2,162.28, 3,239.18 and 1,034.94 is: 1,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.28 : 3,239.18 = 1,034.94 : x
  2. Step 2: Convert to fraction form
    2,162.28/3,239.18 = 1,034.94/x
  3. Step 3: Cross multiply
    2,162.28x = 3,239.18 × 1,034.94
  4. Step 4: Simplify right side
    2,162.28x = 3,352,356.95
  5. Step 5: Solve for x
    x = 3,352,356.95/2,162.28
  6. Step 6: Final answer
    x = 1,550.38

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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.