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Finding the Fourth Proportional to 2,302.40, 3,194.18 and 2,205.20

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Solution

The fourth proportional to 2,302.40, 3,194.18 and 2,205.20 is: 3,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.40 : 3,194.18 = 2,205.20 : x
  2. Step 2: Convert to fraction form
    2,302.40/3,194.18 = 2,205.20/x
  3. Step 3: Cross multiply
    2,302.40x = 3,194.18 × 2,205.20
  4. Step 4: Simplify right side
    2,302.40x = 7,043,805.74
  5. Step 5: Solve for x
    x = 7,043,805.74/2,302.40
  6. Step 6: Final answer
    x = 3,059.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.