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Finding the Fourth Proportional to 1,610.38, 2,222.33 and 911.75

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Solution

The fourth proportional to 1,610.38, 2,222.33 and 911.75 is: 1,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.38 : 2,222.33 = 911.75 : x
  2. Step 2: Convert to fraction form
    1,610.38/2,222.33 = 911.75/x
  3. Step 3: Cross multiply
    1,610.38x = 2,222.33 × 911.75
  4. Step 4: Simplify right side
    1,610.38x = 2,026,204.82
  5. Step 5: Solve for x
    x = 2,026,204.82/1,610.38
  6. Step 6: Final answer
    x = 1,258.22

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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.