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Finding the Fourth Proportional to 3,322.67, 4,585.10 and 1,906.41

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Solution

The fourth proportional to 3,322.67, 4,585.10 and 1,906.41 is: 2,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.67 : 4,585.10 = 1,906.41 : x
  2. Step 2: Convert to fraction form
    3,322.67/4,585.10 = 1,906.41/x
  3. Step 3: Cross multiply
    3,322.67x = 4,585.10 × 1,906.41
  4. Step 4: Simplify right side
    3,322.67x = 8,741,080.49
  5. Step 5: Solve for x
    x = 8,741,080.49/3,322.67
  6. Step 6: Final answer
    x = 2,630.74

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Why These Related Problems?

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