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Finding the Fourth Proportional to 2,299.21, 3,448.82 and 567.83

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Solution

The fourth proportional to 2,299.21, 3,448.82 and 567.83 is: 851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.21 : 3,448.82 = 567.83 : x
  2. Step 2: Convert to fraction form
    2,299.21/3,448.82 = 567.83/x
  3. Step 3: Cross multiply
    2,299.21x = 3,448.82 × 567.83
  4. Step 4: Simplify right side
    2,299.21x = 1,958,343.46
  5. Step 5: Solve for x
    x = 1,958,343.46/2,299.21
  6. Step 6: Final answer
    x = 851.75

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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.