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Finding the Fourth Proportional to 2,036.82, 3,053.16 and 803.73

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Solution

The fourth proportional to 2,036.82, 3,053.16 and 803.73 is: 1,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.82 : 3,053.16 = 803.73 : x
  2. Step 2: Convert to fraction form
    2,036.82/3,053.16 = 803.73/x
  3. Step 3: Cross multiply
    2,036.82x = 3,053.16 × 803.73
  4. Step 4: Simplify right side
    2,036.82x = 2,453,916.29
  5. Step 5: Solve for x
    x = 2,453,916.29/2,036.82
  6. Step 6: Final answer
    x = 1,204.78

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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.