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Finding the Fourth Proportional to 2,410.69, 3,617.07 and 767.37

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Solution

The fourth proportional to 2,410.69, 3,617.07 and 767.37 is: 1,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.69 : 3,617.07 = 767.37 : x
  2. Step 2: Convert to fraction form
    2,410.69/3,617.07 = 767.37/x
  3. Step 3: Cross multiply
    2,410.69x = 3,617.07 × 767.37
  4. Step 4: Simplify right side
    2,410.69x = 2,775,631.01
  5. Step 5: Solve for x
    x = 2,775,631.01/2,410.69
  6. Step 6: Final answer
    x = 1,151.38

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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.