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Finding the Fourth Proportional to 2,514.54, 3,758.45 and 2,267.22

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Solution

The fourth proportional to 2,514.54, 3,758.45 and 2,267.22 is: 3,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.54 : 3,758.45 = 2,267.22 : x
  2. Step 2: Convert to fraction form
    2,514.54/3,758.45 = 2,267.22/x
  3. Step 3: Cross multiply
    2,514.54x = 3,758.45 × 2,267.22
  4. Step 4: Simplify right side
    2,514.54x = 8,521,221.67
  5. Step 5: Solve for x
    x = 8,521,221.67/2,514.54
  6. Step 6: Final answer
    x = 3,388.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.