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Finding the Fourth Proportional to 2,514.24, 3,770.91 and 665.37

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Solution

The fourth proportional to 2,514.24, 3,770.91 and 665.37 is: 997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.24 : 3,770.91 = 665.37 : x
  2. Step 2: Convert to fraction form
    2,514.24/3,770.91 = 665.37/x
  3. Step 3: Cross multiply
    2,514.24x = 3,770.91 × 665.37
  4. Step 4: Simplify right side
    2,514.24x = 2,509,050.39
  5. Step 5: Solve for x
    x = 2,509,050.39/2,514.24
  6. Step 6: Final answer
    x = 997.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.