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Finding the Fourth Proportional to 2,006.15, 3,008.91 and 773.38

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Solution

The fourth proportional to 2,006.15, 3,008.91 and 773.38 is: 1,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.15 : 3,008.91 = 773.38 : x
  2. Step 2: Convert to fraction form
    2,006.15/3,008.91 = 773.38/x
  3. Step 3: Cross multiply
    2,006.15x = 3,008.91 × 773.38
  4. Step 4: Simplify right side
    2,006.15x = 2,327,024.78
  5. Step 5: Solve for x
    x = 2,327,024.78/2,006.15
  6. Step 6: Final answer
    x = 1,159.95

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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.