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Finding the Fourth Proportional to 3,341.50, 4,611.46 and 1,997.71

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Solution

The fourth proportional to 3,341.50, 4,611.46 and 1,997.71 is: 2,756.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.50 : 4,611.46 = 1,997.71 : x
  2. Step 2: Convert to fraction form
    3,341.50/4,611.46 = 1,997.71/x
  3. Step 3: Cross multiply
    3,341.50x = 4,611.46 × 1,997.71
  4. Step 4: Simplify right side
    3,341.50x = 9,212,359.76
  5. Step 5: Solve for x
    x = 9,212,359.76/3,341.50
  6. Step 6: Final answer
    x = 2,756.95

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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.