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Finding the Fourth Proportional to 2,084.27, 3,126.44 and 697.61

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Solution

The fourth proportional to 2,084.27, 3,126.44 and 697.61 is: 1,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.27 : 3,126.44 = 697.61 : x
  2. Step 2: Convert to fraction form
    2,084.27/3,126.44 = 697.61/x
  3. Step 3: Cross multiply
    2,084.27x = 3,126.44 × 697.61
  4. Step 4: Simplify right side
    2,084.27x = 2,181,035.81
  5. Step 5: Solve for x
    x = 2,181,035.81/2,084.27
  6. Step 6: Final answer
    x = 1,046.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.