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Finding the Fourth Proportional to 2,670.94, 3,687.42 and 2,080.18

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Solution

The fourth proportional to 2,670.94, 3,687.42 and 2,080.18 is: 2,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.94 : 3,687.42 = 2,080.18 : x
  2. Step 2: Convert to fraction form
    2,670.94/3,687.42 = 2,080.18/x
  3. Step 3: Cross multiply
    2,670.94x = 3,687.42 × 2,080.18
  4. Step 4: Simplify right side
    2,670.94x = 7,670,497.34
  5. Step 5: Solve for x
    x = 7,670,497.34/2,670.94
  6. Step 6: Final answer
    x = 2,871.83

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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.