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Finding the Fourth Proportional to 1,883.45, 2,826.09 and 1,299.33

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Solution

The fourth proportional to 1,883.45, 2,826.09 and 1,299.33 is: 1,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.45 : 2,826.09 = 1,299.33 : x
  2. Step 2: Convert to fraction form
    1,883.45/2,826.09 = 1,299.33/x
  3. Step 3: Cross multiply
    1,883.45x = 2,826.09 × 1,299.33
  4. Step 4: Simplify right side
    1,883.45x = 3,672,023.52
  5. Step 5: Solve for x
    x = 3,672,023.52/1,883.45
  6. Step 6: Final answer
    x = 1,949.62

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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.