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Finding the Fourth Proportional to 3,105.70, 4,286.46 and 1,780.28

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Solution

The fourth proportional to 3,105.70, 4,286.46 and 1,780.28 is: 2,457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.70 : 4,286.46 = 1,780.28 : x
  2. Step 2: Convert to fraction form
    3,105.70/4,286.46 = 1,780.28/x
  3. Step 3: Cross multiply
    3,105.70x = 4,286.46 × 1,780.28
  4. Step 4: Simplify right side
    3,105.70x = 7,631,099.01
  5. Step 5: Solve for x
    x = 7,631,099.01/3,105.70
  6. Step 6: Final answer
    x = 2,457.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.