Home / 2,284.29-3,424.38-1,896.78

Finding the Fourth Proportional to 2,284.29, 3,424.38 and 1,896.78

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Solution

The fourth proportional to 2,284.29, 3,424.38 and 1,896.78 is: 2,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.29 : 3,424.38 = 1,896.78 : x
  2. Step 2: Convert to fraction form
    2,284.29/3,424.38 = 1,896.78/x
  3. Step 3: Cross multiply
    2,284.29x = 3,424.38 × 1,896.78
  4. Step 4: Simplify right side
    2,284.29x = 6,495,295.50
  5. Step 5: Solve for x
    x = 6,495,295.50/2,284.29
  6. Step 6: Final answer
    x = 2,843.47

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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.