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Finding the Fourth Proportional to 2,216.46, 3,325.05 and 1,062.21

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Solution

The fourth proportional to 2,216.46, 3,325.05 and 1,062.21 is: 1,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216.46 : 3,325.05 = 1,062.21 : x
  2. Step 2: Convert to fraction form
    2,216.46/3,325.05 = 1,062.21/x
  3. Step 3: Cross multiply
    2,216.46x = 3,325.05 × 1,062.21
  4. Step 4: Simplify right side
    2,216.46x = 3,531,901.36
  5. Step 5: Solve for x
    x = 3,531,901.36/2,216.46
  6. Step 6: Final answer
    x = 1,593.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.