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Finding the Fourth Proportional to 3,175.75, 4,760.91 and 1,229.32

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Solution

The fourth proportional to 3,175.75, 4,760.91 and 1,229.32 is: 1,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.75 : 4,760.91 = 1,229.32 : x
  2. Step 2: Convert to fraction form
    3,175.75/4,760.91 = 1,229.32/x
  3. Step 3: Cross multiply
    3,175.75x = 4,760.91 × 1,229.32
  4. Step 4: Simplify right side
    3,175.75x = 5,852,681.88
  5. Step 5: Solve for x
    x = 5,852,681.88/3,175.75
  6. Step 6: Final answer
    x = 1,842.93

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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.