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Finding the Fourth Proportional to 3,231.14, 4,844.27 and 1,670.47

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Solution

The fourth proportional to 3,231.14, 4,844.27 and 1,670.47 is: 2,504.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.14 : 4,844.27 = 1,670.47 : x
  2. Step 2: Convert to fraction form
    3,231.14/4,844.27 = 1,670.47/x
  3. Step 3: Cross multiply
    3,231.14x = 4,844.27 × 1,670.47
  4. Step 4: Simplify right side
    3,231.14x = 8,092,199.77
  5. Step 5: Solve for x
    x = 8,092,199.77/3,231.14
  6. Step 6: Final answer
    x = 2,504.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.