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Finding the Fourth Proportional to 2,383.73, 3,576.50 and 998

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Solution

The fourth proportional to 2,383.73, 3,576.50 and 998 is: 1,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.73 : 3,576.50 = 998 : x
  2. Step 2: Convert to fraction form
    2,383.73/3,576.50 = 998/x
  3. Step 3: Cross multiply
    2,383.73x = 3,576.50 × 998
  4. Step 4: Simplify right side
    2,383.73x = 3,569,342.01
  5. Step 5: Solve for x
    x = 3,569,342.01/2,383.73
  6. Step 6: Final answer
    x = 1,497.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.