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Finding the Fourth Proportional to 2,945.40, 4,418.11 and 998.97

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Solution

The fourth proportional to 2,945.40, 4,418.11 and 998.97 is: 1,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.40 : 4,418.11 = 998.97 : x
  2. Step 2: Convert to fraction form
    2,945.40/4,418.11 = 998.97/x
  3. Step 3: Cross multiply
    2,945.40x = 4,418.11 × 998.97
  4. Step 4: Simplify right side
    2,945.40x = 4,413,573.42
  5. Step 5: Solve for x
    x = 4,413,573.42/2,945.40
  6. Step 6: Final answer
    x = 1,498.46

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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.