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Finding the Fourth Proportional to 2,771.67, 4,158.42 and 1,129.62

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Solution

The fourth proportional to 2,771.67, 4,158.42 and 1,129.62 is: 1,694.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.67 : 4,158.42 = 1,129.62 : x
  2. Step 2: Convert to fraction form
    2,771.67/4,158.42 = 1,129.62/x
  3. Step 3: Cross multiply
    2,771.67x = 4,158.42 × 1,129.62
  4. Step 4: Simplify right side
    2,771.67x = 4,697,434.40
  5. Step 5: Solve for x
    x = 4,697,434.40/2,771.67
  6. Step 6: Final answer
    x = 1,694.80

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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.