Home / 2,823.92-4,231.32-1,526

Finding the Fourth Proportional to 2,823.92, 4,231.32 and 1,526

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Solution

The fourth proportional to 2,823.92, 4,231.32 and 1,526 is: 2,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.92 : 4,231.32 = 1,526 : x
  2. Step 2: Convert to fraction form
    2,823.92/4,231.32 = 1,526/x
  3. Step 3: Cross multiply
    2,823.92x = 4,231.32 × 1,526
  4. Step 4: Simplify right side
    2,823.92x = 6,456,994.32
  5. Step 5: Solve for x
    x = 6,456,994.32/2,823.92
  6. Step 6: Final answer
    x = 2,286.54

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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.