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Finding the Fourth Proportional to 2,418.87, 3,622.10 and 1,677.43

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Solution

The fourth proportional to 2,418.87, 3,622.10 and 1,677.43 is: 2,511.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.87 : 3,622.10 = 1,677.43 : x
  2. Step 2: Convert to fraction form
    2,418.87/3,622.10 = 1,677.43/x
  3. Step 3: Cross multiply
    2,418.87x = 3,622.10 × 1,677.43
  4. Step 4: Simplify right side
    2,418.87x = 6,075,801.09
  5. Step 5: Solve for x
    x = 6,075,801.09/2,418.87
  6. Step 6: Final answer
    x = 2,511.83

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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.