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Finding the Fourth Proportional to 2,514.02, 3,770.94 and 665.15

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Solution

The fourth proportional to 2,514.02, 3,770.94 and 665.15 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.02 : 3,770.94 = 665.15 : x
  2. Step 2: Convert to fraction form
    2,514.02/3,770.94 = 665.15/x
  3. Step 3: Cross multiply
    2,514.02x = 3,770.94 × 665.15
  4. Step 4: Simplify right side
    2,514.02x = 2,508,221.89
  5. Step 5: Solve for x
    x = 2,508,221.89/2,514.02
  6. Step 6: Final answer
    x = 997.70

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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.