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Finding the Fourth Proportional to 2,006.91, 3,008.75 and 773.69

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Solution

The fourth proportional to 2,006.91, 3,008.75 and 773.69 is: 1,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.91 : 3,008.75 = 773.69 : x
  2. Step 2: Convert to fraction form
    2,006.91/3,008.75 = 773.69/x
  3. Step 3: Cross multiply
    2,006.91x = 3,008.75 × 773.69
  4. Step 4: Simplify right side
    2,006.91x = 2,327,820.88
  5. Step 5: Solve for x
    x = 2,327,820.88/2,006.91
  6. Step 6: Final answer
    x = 1,159.90

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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.