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Finding the Fourth Proportional to 2,057.67, 2,839.06 and 1,218.03

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Solution

The fourth proportional to 2,057.67, 2,839.06 and 1,218.03 is: 1,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.67 : 2,839.06 = 1,218.03 : x
  2. Step 2: Convert to fraction form
    2,057.67/2,839.06 = 1,218.03/x
  3. Step 3: Cross multiply
    2,057.67x = 2,839.06 × 1,218.03
  4. Step 4: Simplify right side
    2,057.67x = 3,458,060.25
  5. Step 5: Solve for x
    x = 3,458,060.25/2,057.67
  6. Step 6: Final answer
    x = 1,680.57

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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.