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Finding the Fourth Proportional to 2,057.33, 2,874.79 and 2,057.33

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Solution

The fourth proportional to 2,057.33, 2,874.79 and 2,057.33 is: 2,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.33 : 2,874.79 = 2,057.33 : x
  2. Step 2: Convert to fraction form
    2,057.33/2,874.79 = 2,057.33/x
  3. Step 3: Cross multiply
    2,057.33x = 2,874.79 × 2,057.33
  4. Step 4: Simplify right side
    2,057.33x = 5,914,372.19
  5. Step 5: Solve for x
    x = 5,914,372.19/2,057.33
  6. Step 6: Final answer
    x = 2,874.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.