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Finding the Fourth Proportional to 2,207.68, 3,311.64 and 564.25

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Solution

The fourth proportional to 2,207.68, 3,311.64 and 564.25 is: 846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.68 : 3,311.64 = 564.25 : x
  2. Step 2: Convert to fraction form
    2,207.68/3,311.64 = 564.25/x
  3. Step 3: Cross multiply
    2,207.68x = 3,311.64 × 564.25
  4. Step 4: Simplify right side
    2,207.68x = 1,868,592.87
  5. Step 5: Solve for x
    x = 1,868,592.87/2,207.68
  6. Step 6: Final answer
    x = 846.41

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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.