Home / 1,822.02-2,732.94-523.44

Finding the Fourth Proportional to 1,822.02, 2,732.94 and 523.44

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Solution

The fourth proportional to 1,822.02, 2,732.94 and 523.44 is: 785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.02 : 2,732.94 = 523.44 : x
  2. Step 2: Convert to fraction form
    1,822.02/2,732.94 = 523.44/x
  3. Step 3: Cross multiply
    1,822.02x = 2,732.94 × 523.44
  4. Step 4: Simplify right side
    1,822.02x = 1,430,530.11
  5. Step 5: Solve for x
    x = 1,430,530.11/1,822.02
  6. Step 6: Final answer
    x = 785.13

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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.