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Finding the Fourth Proportional to 3,171.70, 4,376.82 and 1,774.42

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Solution

The fourth proportional to 3,171.70, 4,376.82 and 1,774.42 is: 2,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.70 : 4,376.82 = 1,774.42 : x
  2. Step 2: Convert to fraction form
    3,171.70/4,376.82 = 1,774.42/x
  3. Step 3: Cross multiply
    3,171.70x = 4,376.82 × 1,774.42
  4. Step 4: Simplify right side
    3,171.70x = 7,766,316.94
  5. Step 5: Solve for x
    x = 7,766,316.94/3,171.70
  6. Step 6: Final answer
    x = 2,448.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.