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Finding the Fourth Proportional to 2,841.02, 4,259.73 and 991.97

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Solution

The fourth proportional to 2,841.02, 4,259.73 and 991.97 is: 1,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.02 : 4,259.73 = 991.97 : x
  2. Step 2: Convert to fraction form
    2,841.02/4,259.73 = 991.97/x
  3. Step 3: Cross multiply
    2,841.02x = 4,259.73 × 991.97
  4. Step 4: Simplify right side
    2,841.02x = 4,225,524.37
  5. Step 5: Solve for x
    x = 4,225,524.37/2,841.02
  6. Step 6: Final answer
    x = 1,487.33

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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.