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Finding the Fourth Proportional to 3,181.77, 4,763.73 and 2,399.31

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Solution

The fourth proportional to 3,181.77, 4,763.73 and 2,399.31 is: 3,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.77 : 4,763.73 = 2,399.31 : x
  2. Step 2: Convert to fraction form
    3,181.77/4,763.73 = 2,399.31/x
  3. Step 3: Cross multiply
    3,181.77x = 4,763.73 × 2,399.31
  4. Step 4: Simplify right side
    3,181.77x = 11,429,670.65
  5. Step 5: Solve for x
    x = 11,429,670.65/3,181.77
  6. Step 6: Final answer
    x = 3,592.24

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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.