Home / 2,284.14-3,429.09-2,163.18

Finding the Fourth Proportional to 2,284.14, 3,429.09 and 2,163.18

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Solution

The fourth proportional to 2,284.14, 3,429.09 and 2,163.18 is: 3,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.14 : 3,429.09 = 2,163.18 : x
  2. Step 2: Convert to fraction form
    2,284.14/3,429.09 = 2,163.18/x
  3. Step 3: Cross multiply
    2,284.14x = 3,429.09 × 2,163.18
  4. Step 4: Simplify right side
    2,284.14x = 7,417,738.91
  5. Step 5: Solve for x
    x = 7,417,738.91/2,284.14
  6. Step 6: Final answer
    x = 3,247.50

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Why These Related Problems?

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