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Finding the Fourth Proportional to 2,338.83, 3,508.20 and 1,106.82

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Solution

The fourth proportional to 2,338.83, 3,508.20 and 1,106.82 is: 1,660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.83 : 3,508.20 = 1,106.82 : x
  2. Step 2: Convert to fraction form
    2,338.83/3,508.20 = 1,106.82/x
  3. Step 3: Cross multiply
    2,338.83x = 3,508.20 × 1,106.82
  4. Step 4: Simplify right side
    2,338.83x = 3,882,945.92
  5. Step 5: Solve for x
    x = 3,882,945.92/2,338.83
  6. Step 6: Final answer
    x = 1,660.21

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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.