Home / 1,822.04-2,733.20-523.61

Finding the Fourth Proportional to 1,822.04, 2,733.20 and 523.61

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Solution

The fourth proportional to 1,822.04, 2,733.20 and 523.61 is: 785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.04 : 2,733.20 = 523.61 : x
  2. Step 2: Convert to fraction form
    1,822.04/2,733.20 = 523.61/x
  3. Step 3: Cross multiply
    1,822.04x = 2,733.20 × 523.61
  4. Step 4: Simplify right side
    1,822.04x = 1,431,128.23
  5. Step 5: Solve for x
    x = 1,431,128.23/1,822.04
  6. Step 6: Final answer
    x = 785.45

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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.