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Finding the Fourth Proportional to 2,146.68, 3,217.56 and 1,048.62

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Solution

The fourth proportional to 2,146.68, 3,217.56 and 1,048.62 is: 1,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.68 : 3,217.56 = 1,048.62 : x
  2. Step 2: Convert to fraction form
    2,146.68/3,217.56 = 1,048.62/x
  3. Step 3: Cross multiply
    2,146.68x = 3,217.56 × 1,048.62
  4. Step 4: Simplify right side
    2,146.68x = 3,373,997.77
  5. Step 5: Solve for x
    x = 3,373,997.77/2,146.68
  6. Step 6: Final answer
    x = 1,571.73

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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.