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Finding the Fourth Proportional to 1,395.75, 2,089.98 and 984.27

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Solution

The fourth proportional to 1,395.75, 2,089.98 and 984.27 is: 1,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.75 : 2,089.98 = 984.27 : x
  2. Step 2: Convert to fraction form
    1,395.75/2,089.98 = 984.27/x
  3. Step 3: Cross multiply
    1,395.75x = 2,089.98 × 984.27
  4. Step 4: Simplify right side
    1,395.75x = 2,057,104.61
  5. Step 5: Solve for x
    x = 2,057,104.61/1,395.75
  6. Step 6: Final answer
    x = 1,473.83

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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.