Home / 1,521.68-2,280.32-827.76

Finding the Fourth Proportional to 1,521.68, 2,280.32 and 827.76

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Solution

The fourth proportional to 1,521.68, 2,280.32 and 827.76 is: 1,240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.68 : 2,280.32 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,521.68/2,280.32 = 827.76/x
  3. Step 3: Cross multiply
    1,521.68x = 2,280.32 × 827.76
  4. Step 4: Simplify right side
    1,521.68x = 1,887,557.68
  5. Step 5: Solve for x
    x = 1,887,557.68/1,521.68
  6. Step 6: Final answer
    x = 1,240.44

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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.