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Finding the Fourth Proportional to 2,651.43, 3,977.15 and 1,007.60

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Solution

The fourth proportional to 2,651.43, 3,977.15 and 1,007.60 is: 1,511.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.43 : 3,977.15 = 1,007.60 : x
  2. Step 2: Convert to fraction form
    2,651.43/3,977.15 = 1,007.60/x
  3. Step 3: Cross multiply
    2,651.43x = 3,977.15 × 1,007.60
  4. Step 4: Simplify right side
    2,651.43x = 4,007,351.42
  5. Step 5: Solve for x
    x = 4,007,351.42/2,651.43
  6. Step 6: Final answer
    x = 1,511.39

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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.