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Finding the Fourth Proportional to 3,105.80, 4,659.36 and 914.35

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Solution

The fourth proportional to 3,105.80, 4,659.36 and 914.35 is: 1,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.80 : 4,659.36 = 914.35 : x
  2. Step 2: Convert to fraction form
    3,105.80/4,659.36 = 914.35/x
  3. Step 3: Cross multiply
    3,105.80x = 4,659.36 × 914.35
  4. Step 4: Simplify right side
    3,105.80x = 4,260,285.82
  5. Step 5: Solve for x
    x = 4,260,285.82/3,105.80
  6. Step 6: Final answer
    x = 1,371.72

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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.