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Finding the Fourth Proportional to 2,847.40, 4,270.25 and 998.17

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Solution

The fourth proportional to 2,847.40, 4,270.25 and 998.17 is: 1,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.40 : 4,270.25 = 998.17 : x
  2. Step 2: Convert to fraction form
    2,847.40/4,270.25 = 998.17/x
  3. Step 3: Cross multiply
    2,847.40x = 4,270.25 × 998.17
  4. Step 4: Simplify right side
    2,847.40x = 4,262,427.26
  5. Step 5: Solve for x
    x = 4,262,427.26/2,847.40
  6. Step 6: Final answer
    x = 1,496.96

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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.