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Finding the Fourth Proportional to 2,891.47, 4,338.02 and 1,161.31

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Solution

The fourth proportional to 2,891.47, 4,338.02 and 1,161.31 is: 1,742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.47 : 4,338.02 = 1,161.31 : x
  2. Step 2: Convert to fraction form
    2,891.47/4,338.02 = 1,161.31/x
  3. Step 3: Cross multiply
    2,891.47x = 4,338.02 × 1,161.31
  4. Step 4: Simplify right side
    2,891.47x = 5,037,786.01
  5. Step 5: Solve for x
    x = 5,037,786.01/2,891.47
  6. Step 6: Final answer
    x = 1,742.29

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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.