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Finding the Fourth Proportional to 2,891.31, 3,987.14 and 2,329.98

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Solution

The fourth proportional to 2,891.31, 3,987.14 and 2,329.98 is: 3,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.31 : 3,987.14 = 2,329.98 : x
  2. Step 2: Convert to fraction form
    2,891.31/3,987.14 = 2,329.98/x
  3. Step 3: Cross multiply
    2,891.31x = 3,987.14 × 2,329.98
  4. Step 4: Simplify right side
    2,891.31x = 9,289,944.81
  5. Step 5: Solve for x
    x = 9,289,944.81/2,891.31
  6. Step 6: Final answer
    x = 3,213.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.