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Finding the Fourth Proportional to 2,322.25, 3,205.24 and 1,328.11

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Solution

The fourth proportional to 2,322.25, 3,205.24 and 1,328.11 is: 1,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.25 : 3,205.24 = 1,328.11 : x
  2. Step 2: Convert to fraction form
    2,322.25/3,205.24 = 1,328.11/x
  3. Step 3: Cross multiply
    2,322.25x = 3,205.24 × 1,328.11
  4. Step 4: Simplify right side
    2,322.25x = 4,256,899.96
  5. Step 5: Solve for x
    x = 4,256,899.96/2,322.25
  6. Step 6: Final answer
    x = 1,833.09

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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.