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Finding the Fourth Proportional to 3,105.59, 4,656.90 and 1,129.82

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Solution

The fourth proportional to 3,105.59, 4,656.90 and 1,129.82 is: 1,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.59 : 4,656.90 = 1,129.82 : x
  2. Step 2: Convert to fraction form
    3,105.59/4,656.90 = 1,129.82/x
  3. Step 3: Cross multiply
    3,105.59x = 4,656.90 × 1,129.82
  4. Step 4: Simplify right side
    3,105.59x = 5,261,439.71
  5. Step 5: Solve for x
    x = 5,261,439.71/3,105.59
  6. Step 6: Final answer
    x = 1,694.19

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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.