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Finding the Fourth Proportional to 3,181.66, 4,768.23 and 2,007.97

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Solution

The fourth proportional to 3,181.66, 4,768.23 and 2,007.97 is: 3,009.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.66 : 4,768.23 = 2,007.97 : x
  2. Step 2: Convert to fraction form
    3,181.66/4,768.23 = 2,007.97/x
  3. Step 3: Cross multiply
    3,181.66x = 4,768.23 × 2,007.97
  4. Step 4: Simplify right side
    3,181.66x = 9,574,462.79
  5. Step 5: Solve for x
    x = 9,574,462.79/3,181.66
  6. Step 6: Final answer
    x = 3,009.27

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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.