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Finding the Fourth Proportional to 3,370.38, 4,651.14 and 1,934.63

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Solution

The fourth proportional to 3,370.38, 4,651.14 and 1,934.63 is: 2,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.38 : 4,651.14 = 1,934.63 : x
  2. Step 2: Convert to fraction form
    3,370.38/4,651.14 = 1,934.63/x
  3. Step 3: Cross multiply
    3,370.38x = 4,651.14 × 1,934.63
  4. Step 4: Simplify right side
    3,370.38x = 8,998,222.26
  5. Step 5: Solve for x
    x = 8,998,222.26/3,370.38
  6. Step 6: Final answer
    x = 2,669.80

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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.