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Finding the Fourth Proportional to 2,839.90, 4,259.20 and 891.64

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Solution

The fourth proportional to 2,839.90, 4,259.20 and 891.64 is: 1,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.90 : 4,259.20 = 891.64 : x
  2. Step 2: Convert to fraction form
    2,839.90/4,259.20 = 891.64/x
  3. Step 3: Cross multiply
    2,839.90x = 4,259.20 × 891.64
  4. Step 4: Simplify right side
    2,839.90x = 3,797,673.09
  5. Step 5: Solve for x
    x = 3,797,673.09/2,839.90
  6. Step 6: Final answer
    x = 1,337.26

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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.