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Finding the Fourth Proportional to 3,106.87, 4,286.98 and 1,780.33

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Solution

The fourth proportional to 3,106.87, 4,286.98 and 1,780.33 is: 2,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.87 : 4,286.98 = 1,780.33 : x
  2. Step 2: Convert to fraction form
    3,106.87/4,286.98 = 1,780.33/x
  3. Step 3: Cross multiply
    3,106.87x = 4,286.98 × 1,780.33
  4. Step 4: Simplify right side
    3,106.87x = 7,632,232.84
  5. Step 5: Solve for x
    x = 7,632,232.84/3,106.87
  6. Step 6: Final answer
    x = 2,456.57

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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.