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Finding the Fourth Proportional to 2,651.38, 3,977.74 and 1,872.90

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Solution

The fourth proportional to 2,651.38, 3,977.74 and 1,872.90 is: 2,809.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.38 : 3,977.74 = 1,872.90 : x
  2. Step 2: Convert to fraction form
    2,651.38/3,977.74 = 1,872.90/x
  3. Step 3: Cross multiply
    2,651.38x = 3,977.74 × 1,872.90
  4. Step 4: Simplify right side
    2,651.38x = 7,449,909.25
  5. Step 5: Solve for x
    x = 7,449,909.25/2,651.38
  6. Step 6: Final answer
    x = 2,809.82

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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.