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Finding the Fourth Proportional to 1,610.23, 2,221.93 and 902.11

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Solution

The fourth proportional to 1,610.23, 2,221.93 and 902.11 is: 1,244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.23 : 2,221.93 = 902.11 : x
  2. Step 2: Convert to fraction form
    1,610.23/2,221.93 = 902.11/x
  3. Step 3: Cross multiply
    1,610.23x = 2,221.93 × 902.11
  4. Step 4: Simplify right side
    1,610.23x = 2,004,425.27
  5. Step 5: Solve for x
    x = 2,004,425.27/1,610.23
  6. Step 6: Final answer
    x = 1,244.81

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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.