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Finding the Fourth Proportional to 3,181.98, 4,769.10 and 1,332.12

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Solution

The fourth proportional to 3,181.98, 4,769.10 and 1,332.12 is: 1,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.98 : 4,769.10 = 1,332.12 : x
  2. Step 2: Convert to fraction form
    3,181.98/4,769.10 = 1,332.12/x
  3. Step 3: Cross multiply
    3,181.98x = 4,769.10 × 1,332.12
  4. Step 4: Simplify right side
    3,181.98x = 6,353,013.49
  5. Step 5: Solve for x
    x = 6,353,013.49/3,181.98
  6. Step 6: Final answer
    x = 1,996.56

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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.