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Finding the Fourth Proportional to 3,172.06, 4,377.44 and 1,774.82

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Solution

The fourth proportional to 3,172.06, 4,377.44 and 1,774.82 is: 2,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.06 : 4,377.44 = 1,774.82 : x
  2. Step 2: Convert to fraction form
    3,172.06/4,377.44 = 1,774.82/x
  3. Step 3: Cross multiply
    3,172.06x = 4,377.44 × 1,774.82
  4. Step 4: Simplify right side
    3,172.06x = 7,769,168.06
  5. Step 5: Solve for x
    x = 7,769,168.06/3,172.06
  6. Step 6: Final answer
    x = 2,449.25

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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.