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Finding the Fourth Proportional to 2,252.93, 3,379.37 and 609.47

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Solution

The fourth proportional to 2,252.93, 3,379.37 and 609.47 is: 914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.93 : 3,379.37 = 609.47 : x
  2. Step 2: Convert to fraction form
    2,252.93/3,379.37 = 609.47/x
  3. Step 3: Cross multiply
    2,252.93x = 3,379.37 × 609.47
  4. Step 4: Simplify right side
    2,252.93x = 2,059,604.69
  5. Step 5: Solve for x
    x = 2,059,604.69/2,252.93
  6. Step 6: Final answer
    x = 914.19

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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.