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Finding the Fourth Proportional to 2,163.80, 2,984.36 and 1,987.31

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Solution

The fourth proportional to 2,163.80, 2,984.36 and 1,987.31 is: 2,740.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.80 : 2,984.36 = 1,987.31 : x
  2. Step 2: Convert to fraction form
    2,163.80/2,984.36 = 1,987.31/x
  3. Step 3: Cross multiply
    2,163.80x = 2,984.36 × 1,987.31
  4. Step 4: Simplify right side
    2,163.80x = 5,930,823.61
  5. Step 5: Solve for x
    x = 5,930,823.61/2,163.80
  6. Step 6: Final answer
    x = 2,740.94

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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.