Home / 2,116.82-3,176.14-1,141.78

Finding the Fourth Proportional to 2,116.82, 3,176.14 and 1,141.78

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Solution

The fourth proportional to 2,116.82, 3,176.14 and 1,141.78 is: 1,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.82 : 3,176.14 = 1,141.78 : x
  2. Step 2: Convert to fraction form
    2,116.82/3,176.14 = 1,141.78/x
  3. Step 3: Cross multiply
    2,116.82x = 3,176.14 × 1,141.78
  4. Step 4: Simplify right side
    2,116.82x = 3,626,453.13
  5. Step 5: Solve for x
    x = 3,626,453.13/2,116.82
  6. Step 6: Final answer
    x = 1,713.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.