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Finding the Fourth Proportional to 2,418.69, 3,627.36 and 774.39

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Solution

The fourth proportional to 2,418.69, 3,627.36 and 774.39 is: 1,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.69 : 3,627.36 = 774.39 : x
  2. Step 2: Convert to fraction form
    2,418.69/3,627.36 = 774.39/x
  3. Step 3: Cross multiply
    2,418.69x = 3,627.36 × 774.39
  4. Step 4: Simplify right side
    2,418.69x = 2,808,991.31
  5. Step 5: Solve for x
    x = 2,808,991.31/2,418.69
  6. Step 6: Final answer
    x = 1,161.37

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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.