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Finding the Fourth Proportional to 2,007.02, 3,010.66 and 774.44

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Solution

The fourth proportional to 2,007.02, 3,010.66 and 774.44 is: 1,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.02 : 3,010.66 = 774.44 : x
  2. Step 2: Convert to fraction form
    2,007.02/3,010.66 = 774.44/x
  3. Step 3: Cross multiply
    2,007.02x = 3,010.66 × 774.44
  4. Step 4: Simplify right side
    2,007.02x = 2,331,569.94
  5. Step 5: Solve for x
    x = 2,331,569.94/2,007.02
  6. Step 6: Final answer
    x = 1,161.71

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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.