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Finding the Fourth Proportional to 2,057.46, 2,839.11 and 1,173.18

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Solution

The fourth proportional to 2,057.46, 2,839.11 and 1,173.18 is: 1,618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.46 : 2,839.11 = 1,173.18 : x
  2. Step 2: Convert to fraction form
    2,057.46/2,839.11 = 1,173.18/x
  3. Step 3: Cross multiply
    2,057.46x = 2,839.11 × 1,173.18
  4. Step 4: Simplify right side
    2,057.46x = 3,330,787.07
  5. Step 5: Solve for x
    x = 3,330,787.07/2,057.46
  6. Step 6: Final answer
    x = 1,618.88

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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.