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Finding the Fourth Proportional to 2,295.82, 3,444.14 and 998.20

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Solution

The fourth proportional to 2,295.82, 3,444.14 and 998.20 is: 1,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.82 : 3,444.14 = 998.20 : x
  2. Step 2: Convert to fraction form
    2,295.82/3,444.14 = 998.20/x
  3. Step 3: Cross multiply
    2,295.82x = 3,444.14 × 998.20
  4. Step 4: Simplify right side
    2,295.82x = 3,437,940.55
  5. Step 5: Solve for x
    x = 3,437,940.55/2,295.82
  6. Step 6: Final answer
    x = 1,497.48

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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.