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Finding the Fourth Proportional to 2,057.48, 2,839.62 and 1,271.48

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Solution

The fourth proportional to 2,057.48, 2,839.62 and 1,271.48 is: 1,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.48 : 2,839.62 = 1,271.48 : x
  2. Step 2: Convert to fraction form
    2,057.48/2,839.62 = 1,271.48/x
  3. Step 3: Cross multiply
    2,057.48x = 2,839.62 × 1,271.48
  4. Step 4: Simplify right side
    2,057.48x = 3,610,520.04
  5. Step 5: Solve for x
    x = 3,610,520.04/2,057.48
  6. Step 6: Final answer
    x = 1,754.83

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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.