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Finding the Fourth Proportional to 2,847.34, 4,271.19 and 998.23

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Solution

The fourth proportional to 2,847.34, 4,271.19 and 998.23 is: 1,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.34 : 4,271.19 = 998.23 : x
  2. Step 2: Convert to fraction form
    2,847.34/4,271.19 = 998.23/x
  3. Step 3: Cross multiply
    2,847.34x = 4,271.19 × 998.23
  4. Step 4: Simplify right side
    2,847.34x = 4,263,629.99
  5. Step 5: Solve for x
    x = 4,263,629.99/2,847.34
  6. Step 6: Final answer
    x = 1,497.41

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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.