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Finding the Fourth Proportional to 2,157.75, 2,977.70 and 1,226.43

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Solution

The fourth proportional to 2,157.75, 2,977.70 and 1,226.43 is: 1,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.75 : 2,977.70 = 1,226.43 : x
  2. Step 2: Convert to fraction form
    2,157.75/2,977.70 = 1,226.43/x
  3. Step 3: Cross multiply
    2,157.75x = 2,977.70 × 1,226.43
  4. Step 4: Simplify right side
    2,157.75x = 3,651,940.61
  5. Step 5: Solve for x
    x = 3,651,940.61/2,157.75
  6. Step 6: Final answer
    x = 1,692.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.