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Finding the Fourth Proportional to 2,651.56, 3,977.30 and 1,007.80

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Solution

The fourth proportional to 2,651.56, 3,977.30 and 1,007.80 is: 1,511.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.56 : 3,977.30 = 1,007.80 : x
  2. Step 2: Convert to fraction form
    2,651.56/3,977.30 = 1,007.80/x
  3. Step 3: Cross multiply
    2,651.56x = 3,977.30 × 1,007.80
  4. Step 4: Simplify right side
    2,651.56x = 4,008,322.94
  5. Step 5: Solve for x
    x = 4,008,322.94/2,651.56
  6. Step 6: Final answer
    x = 1,511.68

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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.