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Finding the Fourth Proportional to 1,610.54, 2,221.08 and 1,362.38

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Solution

The fourth proportional to 1,610.54, 2,221.08 and 1,362.38 is: 1,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.54 : 2,221.08 = 1,362.38 : x
  2. Step 2: Convert to fraction form
    1,610.54/2,221.08 = 1,362.38/x
  3. Step 3: Cross multiply
    1,610.54x = 2,221.08 × 1,362.38
  4. Step 4: Simplify right side
    1,610.54x = 3,025,954.97
  5. Step 5: Solve for x
    x = 3,025,954.97/1,610.54
  6. Step 6: Final answer
    x = 1,878.84

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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.