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Finding the Fourth Proportional to 2,057.04, 3,085.83 and 824.42

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Solution

The fourth proportional to 2,057.04, 3,085.83 and 824.42 is: 1,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.04 : 3,085.83 = 824.42 : x
  2. Step 2: Convert to fraction form
    2,057.04/3,085.83 = 824.42/x
  3. Step 3: Cross multiply
    2,057.04x = 3,085.83 × 824.42
  4. Step 4: Simplify right side
    2,057.04x = 2,544,027.68
  5. Step 5: Solve for x
    x = 2,544,027.68/2,057.04
  6. Step 6: Final answer
    x = 1,236.74

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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.