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Finding the Fourth Proportional to 1,602.33, 2,211.42 and 939.44

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Solution

The fourth proportional to 1,602.33, 2,211.42 and 939.44 is: 1,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.33 : 2,211.42 = 939.44 : x
  2. Step 2: Convert to fraction form
    1,602.33/2,211.42 = 939.44/x
  3. Step 3: Cross multiply
    1,602.33x = 2,211.42 × 939.44
  4. Step 4: Simplify right side
    1,602.33x = 2,077,496.40
  5. Step 5: Solve for x
    x = 2,077,496.40/1,602.33
  6. Step 6: Final answer
    x = 1,296.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.