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Finding the Fourth Proportional to 3,291.27, 4,936.91 and 1,343.13

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Solution

The fourth proportional to 3,291.27, 4,936.91 and 1,343.13 is: 2,014.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.27 : 4,936.91 = 1,343.13 : x
  2. Step 2: Convert to fraction form
    3,291.27/4,936.91 = 1,343.13/x
  3. Step 3: Cross multiply
    3,291.27x = 4,936.91 × 1,343.13
  4. Step 4: Simplify right side
    3,291.27x = 6,630,905.21
  5. Step 5: Solve for x
    x = 6,630,905.21/3,291.27
  6. Step 6: Final answer
    x = 2,014.70

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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.