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Finding the Fourth Proportional to 3,175.26, 4,760.15 and 1,228.83

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Solution

The fourth proportional to 3,175.26, 4,760.15 and 1,228.83 is: 1,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.26 : 4,760.15 = 1,228.83 : x
  2. Step 2: Convert to fraction form
    3,175.26/4,760.15 = 1,228.83/x
  3. Step 3: Cross multiply
    3,175.26x = 4,760.15 × 1,228.83
  4. Step 4: Simplify right side
    3,175.26x = 5,849,415.12
  5. Step 5: Solve for x
    x = 5,849,415.12/3,175.26
  6. Step 6: Final answer
    x = 1,842.18

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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.