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Finding the Fourth Proportional to 2,839.64, 4,256.72 and 891.38

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Solution

The fourth proportional to 2,839.64, 4,256.72 and 891.38 is: 1,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.64 : 4,256.72 = 891.38 : x
  2. Step 2: Convert to fraction form
    2,839.64/4,256.72 = 891.38/x
  3. Step 3: Cross multiply
    2,839.64x = 4,256.72 × 891.38
  4. Step 4: Simplify right side
    2,839.64x = 3,794,350.62
  5. Step 5: Solve for x
    x = 3,794,350.62/2,839.64
  6. Step 6: Final answer
    x = 1,336.21

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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.