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Finding the Fourth Proportional to 2,057.36, 2,839.14 and 1,890

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Solution

The fourth proportional to 2,057.36, 2,839.14 and 1,890 is: 2,608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.36 : 2,839.14 = 1,890 : x
  2. Step 2: Convert to fraction form
    2,057.36/2,839.14 = 1,890/x
  3. Step 3: Cross multiply
    2,057.36x = 2,839.14 × 1,890
  4. Step 4: Simplify right side
    2,057.36x = 5,365,974.60
  5. Step 5: Solve for x
    x = 5,365,974.60/2,057.36
  6. Step 6: Final answer
    x = 2,608.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.