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Finding the Fourth Proportional to 3,108.71, 4,662.92 and 1,160.77

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Solution

The fourth proportional to 3,108.71, 4,662.92 and 1,160.77 is: 1,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.71 : 4,662.92 = 1,160.77 : x
  2. Step 2: Convert to fraction form
    3,108.71/4,662.92 = 1,160.77/x
  3. Step 3: Cross multiply
    3,108.71x = 4,662.92 × 1,160.77
  4. Step 4: Simplify right side
    3,108.71x = 5,412,560.19
  5. Step 5: Solve for x
    x = 5,412,560.19/3,108.71
  6. Step 6: Final answer
    x = 1,741.09

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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.