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Finding the Fourth Proportional to 2,839.66, 4,259.93 and 891.42

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Solution

The fourth proportional to 2,839.66, 4,259.93 and 891.42 is: 1,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.66 : 4,259.93 = 891.42 : x
  2. Step 2: Convert to fraction form
    2,839.66/4,259.93 = 891.42/x
  3. Step 3: Cross multiply
    2,839.66x = 4,259.93 × 891.42
  4. Step 4: Simplify right side
    2,839.66x = 3,797,386.80
  5. Step 5: Solve for x
    x = 3,797,386.80/2,839.66
  6. Step 6: Final answer
    x = 1,337.27

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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.