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Finding the Fourth Proportional to 2,204.66, 3,308.07 and 906.50

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Solution

The fourth proportional to 2,204.66, 3,308.07 and 906.50 is: 1,360.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.66 : 3,308.07 = 906.50 : x
  2. Step 2: Convert to fraction form
    2,204.66/3,308.07 = 906.50/x
  3. Step 3: Cross multiply
    2,204.66x = 3,308.07 × 906.50
  4. Step 4: Simplify right side
    2,204.66x = 2,998,765.46
  5. Step 5: Solve for x
    x = 2,998,765.46/2,204.66
  6. Step 6: Final answer
    x = 1,360.19

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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.