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Finding the Fourth Proportional to 2,771.72, 4,159.11 and 1,129.43

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Solution

The fourth proportional to 2,771.72, 4,159.11 and 1,129.43 is: 1,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.72 : 4,159.11 = 1,129.43 : x
  2. Step 2: Convert to fraction form
    2,771.72/4,159.11 = 1,129.43/x
  3. Step 3: Cross multiply
    2,771.72x = 4,159.11 × 1,129.43
  4. Step 4: Simplify right side
    2,771.72x = 4,697,402.81
  5. Step 5: Solve for x
    x = 4,697,402.81/2,771.72
  6. Step 6: Final answer
    x = 1,694.76

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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.