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Finding the Fourth Proportional to 2,847.11, 4,270.95 and 998.01

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Solution

The fourth proportional to 2,847.11, 4,270.95 and 998.01 is: 1,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.11 : 4,270.95 = 998.01 : x
  2. Step 2: Convert to fraction form
    2,847.11/4,270.95 = 998.01/x
  3. Step 3: Cross multiply
    2,847.11x = 4,270.95 × 998.01
  4. Step 4: Simplify right side
    2,847.11x = 4,262,450.81
  5. Step 5: Solve for x
    x = 4,262,450.81/2,847.11
  6. Step 6: Final answer
    x = 1,497.12

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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.