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Finding the Fourth Proportional to 2,489.94, 3,734.91 and 1,394.30

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Solution

The fourth proportional to 2,489.94, 3,734.91 and 1,394.30 is: 2,091.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.94 : 3,734.91 = 1,394.30 : x
  2. Step 2: Convert to fraction form
    2,489.94/3,734.91 = 1,394.30/x
  3. Step 3: Cross multiply
    2,489.94x = 3,734.91 × 1,394.30
  4. Step 4: Simplify right side
    2,489.94x = 5,207,594.35
  5. Step 5: Solve for x
    x = 5,207,594.35/2,489.94
  6. Step 6: Final answer
    x = 2,091.45

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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.