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Finding the Fourth Proportional to 3,190.97, 4,403.38 and 1,774.74

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Solution

The fourth proportional to 3,190.97, 4,403.38 and 1,774.74 is: 2,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.97 : 4,403.38 = 1,774.74 : x
  2. Step 2: Convert to fraction form
    3,190.97/4,403.38 = 1,774.74/x
  3. Step 3: Cross multiply
    3,190.97x = 4,403.38 × 1,774.74
  4. Step 4: Simplify right side
    3,190.97x = 7,814,854.62
  5. Step 5: Solve for x
    x = 7,814,854.62/3,190.97
  6. Step 6: Final answer
    x = 2,449.05

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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.