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Finding the Fourth Proportional to 2,299.23, 3,448.85 and 567.86

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Solution

The fourth proportional to 2,299.23, 3,448.85 and 567.86 is: 851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.23 : 3,448.85 = 567.86 : x
  2. Step 2: Convert to fraction form
    2,299.23/3,448.85 = 567.86/x
  3. Step 3: Cross multiply
    2,299.23x = 3,448.85 × 567.86
  4. Step 4: Simplify right side
    2,299.23x = 1,958,443.88
  5. Step 5: Solve for x
    x = 1,958,443.88/2,299.23
  6. Step 6: Final answer
    x = 851.78

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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.