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Finding the Fourth Proportional to 2,841.22, 4,261.56 and 991.90

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Solution

The fourth proportional to 2,841.22, 4,261.56 and 991.90 is: 1,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.22 : 4,261.56 = 991.90 : x
  2. Step 2: Convert to fraction form
    2,841.22/4,261.56 = 991.90/x
  3. Step 3: Cross multiply
    2,841.22x = 4,261.56 × 991.90
  4. Step 4: Simplify right side
    2,841.22x = 4,227,041.36
  5. Step 5: Solve for x
    x = 4,227,041.36/2,841.22
  6. Step 6: Final answer
    x = 1,487.76

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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.