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Finding the Fourth Proportional to 3,107.05, 4,286.74 and 1,780.53

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Solution

The fourth proportional to 3,107.05, 4,286.74 and 1,780.53 is: 2,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.05 : 4,286.74 = 1,780.53 : x
  2. Step 2: Convert to fraction form
    3,107.05/4,286.74 = 1,780.53/x
  3. Step 3: Cross multiply
    3,107.05x = 4,286.74 × 1,780.53
  4. Step 4: Simplify right side
    3,107.05x = 7,632,669.17
  5. Step 5: Solve for x
    x = 7,632,669.17/3,107.05
  6. Step 6: Final answer
    x = 2,456.56

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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.