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Finding the Fourth Proportional to 2,891.42, 4,337.43 and 811.43

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Solution

The fourth proportional to 2,891.42, 4,337.43 and 811.43 is: 1,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.42 : 4,337.43 = 811.43 : x
  2. Step 2: Convert to fraction form
    2,891.42/4,337.43 = 811.43/x
  3. Step 3: Cross multiply
    2,891.42x = 4,337.43 × 811.43
  4. Step 4: Simplify right side
    2,891.42x = 3,519,516.77
  5. Step 5: Solve for x
    x = 3,519,516.77/2,891.42
  6. Step 6: Final answer
    x = 1,217.23

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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.