Home / 3,106.14-4,286.69-1,780.17

Finding the Fourth Proportional to 3,106.14, 4,286.69 and 1,780.17

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Solution

The fourth proportional to 3,106.14, 4,286.69 and 1,780.17 is: 2,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.14 : 4,286.69 = 1,780.17 : x
  2. Step 2: Convert to fraction form
    3,106.14/4,286.69 = 1,780.17/x
  3. Step 3: Cross multiply
    3,106.14x = 4,286.69 × 1,780.17
  4. Step 4: Simplify right side
    3,106.14x = 7,631,036.94
  5. Step 5: Solve for x
    x = 7,631,036.94/3,106.14
  6. Step 6: Final answer
    x = 2,456.76

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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.