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Finding the Fourth Proportional to 2,252.88, 3,379.41 and 609.48

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Solution

The fourth proportional to 2,252.88, 3,379.41 and 609.48 is: 914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.88 : 3,379.41 = 609.48 : x
  2. Step 2: Convert to fraction form
    2,252.88/3,379.41 = 609.48/x
  3. Step 3: Cross multiply
    2,252.88x = 3,379.41 × 609.48
  4. Step 4: Simplify right side
    2,252.88x = 2,059,682.81
  5. Step 5: Solve for x
    x = 2,059,682.81/2,252.88
  6. Step 6: Final answer
    x = 914.24

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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.