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Finding the Fourth Proportional to 2,057.54, 2,839.44 and 1,126.04

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Solution

The fourth proportional to 2,057.54, 2,839.44 and 1,126.04 is: 1,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.54 : 2,839.44 = 1,126.04 : x
  2. Step 2: Convert to fraction form
    2,057.54/2,839.44 = 1,126.04/x
  3. Step 3: Cross multiply
    2,057.54x = 2,839.44 × 1,126.04
  4. Step 4: Simplify right side
    2,057.54x = 3,197,323.02
  5. Step 5: Solve for x
    x = 3,197,323.02/2,057.54
  6. Step 6: Final answer
    x = 1,553.95

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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.