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Finding the Fourth Proportional to 1,610.06, 2,221.67 and 938.05

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Solution

The fourth proportional to 1,610.06, 2,221.67 and 938.05 is: 1,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.06 : 2,221.67 = 938.05 : x
  2. Step 2: Convert to fraction form
    1,610.06/2,221.67 = 938.05/x
  3. Step 3: Cross multiply
    1,610.06x = 2,221.67 × 938.05
  4. Step 4: Simplify right side
    1,610.06x = 2,084,034.33
  5. Step 5: Solve for x
    x = 2,084,034.33/1,610.06
  6. Step 6: Final answer
    x = 1,294.39

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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.