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Finding the Fourth Proportional to 3,171.16, 4,754.16 and 2,127.98

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Solution

The fourth proportional to 3,171.16, 4,754.16 and 2,127.98 is: 3,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.16 : 4,754.16 = 2,127.98 : x
  2. Step 2: Convert to fraction form
    3,171.16/4,754.16 = 2,127.98/x
  3. Step 3: Cross multiply
    3,171.16x = 4,754.16 × 2,127.98
  4. Step 4: Simplify right side
    3,171.16x = 10,116,769.28
  5. Step 5: Solve for x
    x = 10,116,769.28/3,171.16
  6. Step 6: Final answer
    x = 3,190.24

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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.