Home / 1,604.02-2,406.26-824.44

Finding the Fourth Proportional to 1,604.02, 2,406.26 and 824.44

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Solution

The fourth proportional to 1,604.02, 2,406.26 and 824.44 is: 1,236.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.02 : 2,406.26 = 824.44 : x
  2. Step 2: Convert to fraction form
    1,604.02/2,406.26 = 824.44/x
  3. Step 3: Cross multiply
    1,604.02x = 2,406.26 × 824.44
  4. Step 4: Simplify right side
    1,604.02x = 1,983,816.99
  5. Step 5: Solve for x
    x = 1,983,816.99/1,604.02
  6. Step 6: Final answer
    x = 1,236.78

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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.