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Finding the Fourth Proportional to 3,105.95, 4,286.81 and 1,780.54

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Solution

The fourth proportional to 3,105.95, 4,286.81 and 1,780.54 is: 2,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.95 : 4,286.81 = 1,780.54 : x
  2. Step 2: Convert to fraction form
    3,105.95/4,286.81 = 1,780.54/x
  3. Step 3: Cross multiply
    3,105.95x = 4,286.81 × 1,780.54
  4. Step 4: Simplify right side
    3,105.95x = 7,632,830.41
  5. Step 5: Solve for x
    x = 7,632,830.41/3,105.95
  6. Step 6: Final answer
    x = 2,457.49

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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.