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Finding the Fourth Proportional to 1,394.15, 2,091.57 and 984.09

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Solution

The fourth proportional to 1,394.15, 2,091.57 and 984.09 is: 1,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.15 : 2,091.57 = 984.09 : x
  2. Step 2: Convert to fraction form
    1,394.15/2,091.57 = 984.09/x
  3. Step 3: Cross multiply
    1,394.15x = 2,091.57 × 984.09
  4. Step 4: Simplify right side
    1,394.15x = 2,058,293.12
  5. Step 5: Solve for x
    x = 2,058,293.12/1,394.15
  6. Step 6: Final answer
    x = 1,476.38

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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.