Home / 3,014.64-4,521.92-823.37

Finding the Fourth Proportional to 3,014.64, 4,521.92 and 823.37

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Solution

The fourth proportional to 3,014.64, 4,521.92 and 823.37 is: 1,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.64 : 4,521.92 = 823.37 : x
  2. Step 2: Convert to fraction form
    3,014.64/4,521.92 = 823.37/x
  3. Step 3: Cross multiply
    3,014.64x = 4,521.92 × 823.37
  4. Step 4: Simplify right side
    3,014.64x = 3,723,186.54
  5. Step 5: Solve for x
    x = 3,723,186.54/3,014.64
  6. Step 6: Final answer
    x = 1,235.04

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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.