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Finding the Fourth Proportional to 2,204.81, 3,308.02 and 2,135.15

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Solution

The fourth proportional to 2,204.81, 3,308.02 and 2,135.15 is: 3,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.81 : 3,308.02 = 2,135.15 : x
  2. Step 2: Convert to fraction form
    2,204.81/3,308.02 = 2,135.15/x
  3. Step 3: Cross multiply
    2,204.81x = 3,308.02 × 2,135.15
  4. Step 4: Simplify right side
    2,204.81x = 7,063,118.90
  5. Step 5: Solve for x
    x = 7,063,118.90/2,204.81
  6. Step 6: Final answer
    x = 3,203.50

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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.