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Finding the Fourth Proportional to 2,057.68, 2,839.60 and 1,126.18

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Solution

The fourth proportional to 2,057.68, 2,839.60 and 1,126.18 is: 1,554.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.68 : 2,839.60 = 1,126.18 : x
  2. Step 2: Convert to fraction form
    2,057.68/2,839.60 = 1,126.18/x
  3. Step 3: Cross multiply
    2,057.68x = 2,839.60 × 1,126.18
  4. Step 4: Simplify right side
    2,057.68x = 3,197,900.73
  5. Step 5: Solve for x
    x = 3,197,900.73/2,057.68
  6. Step 6: Final answer
    x = 1,554.13

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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.