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Finding the Fourth Proportional to 1,609.67, 2,414.48 and 635.78

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Solution

The fourth proportional to 1,609.67, 2,414.48 and 635.78 is: 953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.67 : 2,414.48 = 635.78 : x
  2. Step 2: Convert to fraction form
    1,609.67/2,414.48 = 635.78/x
  3. Step 3: Cross multiply
    1,609.67x = 2,414.48 × 635.78
  4. Step 4: Simplify right side
    1,609.67x = 1,535,085.72
  5. Step 5: Solve for x
    x = 1,535,085.72/1,609.67
  6. Step 6: Final answer
    x = 953.66

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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.