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Finding the Fourth Proportional to 1,663.38, 2,494.26 and 842.04

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Solution

The fourth proportional to 1,663.38, 2,494.26 and 842.04 is: 1,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.38 : 2,494.26 = 842.04 : x
  2. Step 2: Convert to fraction form
    1,663.38/2,494.26 = 842.04/x
  3. Step 3: Cross multiply
    1,663.38x = 2,494.26 × 842.04
  4. Step 4: Simplify right side
    1,663.38x = 2,100,266.69
  5. Step 5: Solve for x
    x = 2,100,266.69/1,663.38
  6. Step 6: Final answer
    x = 1,262.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.