Home / 2,284.14-3,424.05-986.52

Finding the Fourth Proportional to 2,284.14, 3,424.05 and 986.52

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Solution

The fourth proportional to 2,284.14, 3,424.05 and 986.52 is: 1,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.14 : 3,424.05 = 986.52 : x
  2. Step 2: Convert to fraction form
    2,284.14/3,424.05 = 986.52/x
  3. Step 3: Cross multiply
    2,284.14x = 3,424.05 × 986.52
  4. Step 4: Simplify right side
    2,284.14x = 3,377,893.81
  5. Step 5: Solve for x
    x = 3,377,893.81/2,284.14
  6. Step 6: Final answer
    x = 1,478.85

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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.