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Finding the Fourth Proportional to 2,613.88, 3,920.69 and 665.97

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Solution

The fourth proportional to 2,613.88, 3,920.69 and 665.97 is: 998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.88 : 3,920.69 = 665.97 : x
  2. Step 2: Convert to fraction form
    2,613.88/3,920.69 = 665.97/x
  3. Step 3: Cross multiply
    2,613.88x = 3,920.69 × 665.97
  4. Step 4: Simplify right side
    2,613.88x = 2,611,038.99
  5. Step 5: Solve for x
    x = 2,611,038.99/2,613.88
  6. Step 6: Final answer
    x = 998.91

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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.