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Finding the Fourth Proportional to 2,594.25, 3,891.34 and 839.30

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Solution

The fourth proportional to 2,594.25, 3,891.34 and 839.30 is: 1,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.25 : 3,891.34 = 839.30 : x
  2. Step 2: Convert to fraction form
    2,594.25/3,891.34 = 839.30/x
  3. Step 3: Cross multiply
    2,594.25x = 3,891.34 × 839.30
  4. Step 4: Simplify right side
    2,594.25x = 3,265,999.67
  5. Step 5: Solve for x
    x = 3,265,999.67/2,594.25
  6. Step 6: Final answer
    x = 1,258.94

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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.