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Finding the Fourth Proportional to 3,231.72, 4,459.98 and 1,972.41

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Solution

The fourth proportional to 3,231.72, 4,459.98 and 1,972.41 is: 2,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.72 : 4,459.98 = 1,972.41 : x
  2. Step 2: Convert to fraction form
    3,231.72/4,459.98 = 1,972.41/x
  3. Step 3: Cross multiply
    3,231.72x = 4,459.98 × 1,972.41
  4. Step 4: Simplify right side
    3,231.72x = 8,796,909.15
  5. Step 5: Solve for x
    x = 8,796,909.15/3,231.72
  6. Step 6: Final answer
    x = 2,722.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.