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Finding the Fourth Proportional to 1,610.24, 2,221.86 and 902.03

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Solution

The fourth proportional to 1,610.24, 2,221.86 and 902.03 is: 1,244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.24 : 2,221.86 = 902.03 : x
  2. Step 2: Convert to fraction form
    1,610.24/2,221.86 = 902.03/x
  3. Step 3: Cross multiply
    1,610.24x = 2,221.86 × 902.03
  4. Step 4: Simplify right side
    1,610.24x = 2,004,184.38
  5. Step 5: Solve for x
    x = 2,004,184.38/1,610.24
  6. Step 6: Final answer
    x = 1,244.65

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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.