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Finding the Fourth Proportional to 3,171.87, 4,377.38 and 1,774.62

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Solution

The fourth proportional to 3,171.87, 4,377.38 and 1,774.62 is: 2,449.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.87 : 4,377.38 = 1,774.62 : x
  2. Step 2: Convert to fraction form
    3,171.87/4,377.38 = 1,774.62/x
  3. Step 3: Cross multiply
    3,171.87x = 4,377.38 × 1,774.62
  4. Step 4: Simplify right side
    3,171.87x = 7,768,177.22
  5. Step 5: Solve for x
    x = 7,768,177.22/3,171.87
  6. Step 6: Final answer
    x = 2,449.08

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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.