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Finding the Fourth Proportional to 3,105.70, 4,286.47 and 1,780.29

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Solution

The fourth proportional to 3,105.70, 4,286.47 and 1,780.29 is: 2,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.70 : 4,286.47 = 1,780.29 : x
  2. Step 2: Convert to fraction form
    3,105.70/4,286.47 = 1,780.29/x
  3. Step 3: Cross multiply
    3,105.70x = 4,286.47 × 1,780.29
  4. Step 4: Simplify right side
    3,105.70x = 7,631,159.68
  5. Step 5: Solve for x
    x = 7,631,159.68/3,105.70
  6. Step 6: Final answer
    x = 2,457.15

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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.