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Finding the Fourth Proportional to 2,207.25, 3,310.87 and 907.81

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Solution

The fourth proportional to 2,207.25, 3,310.87 and 907.81 is: 1,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.25 : 3,310.87 = 907.81 : x
  2. Step 2: Convert to fraction form
    2,207.25/3,310.87 = 907.81/x
  3. Step 3: Cross multiply
    2,207.25x = 3,310.87 × 907.81
  4. Step 4: Simplify right side
    2,207.25x = 3,005,624.34
  5. Step 5: Solve for x
    x = 3,005,624.34/2,207.25
  6. Step 6: Final answer
    x = 1,361.71

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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.