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Finding the Fourth Proportional to 2,283, 3,424.71 and 639.54

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Solution

The fourth proportional to 2,283, 3,424.71 and 639.54 is: 959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283 : 3,424.71 = 639.54 : x
  2. Step 2: Convert to fraction form
    2,283/3,424.71 = 639.54/x
  3. Step 3: Cross multiply
    2,283x = 3,424.71 × 639.54
  4. Step 4: Simplify right side
    2,283x = 2,190,239.03
  5. Step 5: Solve for x
    x = 2,190,239.03/2,283
  6. Step 6: Final answer
    x = 959.37

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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.