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Finding the Fourth Proportional to 3,172.98, 4,760.82 and 1,226.55

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Solution

The fourth proportional to 3,172.98, 4,760.82 and 1,226.55 is: 1,840.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.98 : 4,760.82 = 1,226.55 : x
  2. Step 2: Convert to fraction form
    3,172.98/4,760.82 = 1,226.55/x
  3. Step 3: Cross multiply
    3,172.98x = 4,760.82 × 1,226.55
  4. Step 4: Simplify right side
    3,172.98x = 5,839,383.77
  5. Step 5: Solve for x
    x = 5,839,383.77/3,172.98
  6. Step 6: Final answer
    x = 1,840.35

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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.