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Finding the Fourth Proportional to 2,385.82, 3,579.30 and 998.38

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Solution

The fourth proportional to 2,385.82, 3,579.30 and 998.38 is: 1,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.82 : 3,579.30 = 998.38 : x
  2. Step 2: Convert to fraction form
    2,385.82/3,579.30 = 998.38/x
  3. Step 3: Cross multiply
    2,385.82x = 3,579.30 × 998.38
  4. Step 4: Simplify right side
    2,385.82x = 3,573,496.54
  5. Step 5: Solve for x
    x = 3,573,496.54/2,385.82
  6. Step 6: Final answer
    x = 1,497.81

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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.