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Finding the Fourth Proportional to 2,773.80, 4,161.90 and 2,156.58

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Solution

The fourth proportional to 2,773.80, 4,161.90 and 2,156.58 is: 3,235.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.80 : 4,161.90 = 2,156.58 : x
  2. Step 2: Convert to fraction form
    2,773.80/4,161.90 = 2,156.58/x
  3. Step 3: Cross multiply
    2,773.80x = 4,161.90 × 2,156.58
  4. Step 4: Simplify right side
    2,773.80x = 8,975,470.30
  5. Step 5: Solve for x
    x = 8,975,470.30/2,773.80
  6. Step 6: Final answer
    x = 3,235.80

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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.