Home / 1,649.23-2,474.15-919.62

Finding the Fourth Proportional to 1,649.23, 2,474.15 and 919.62

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Solution

The fourth proportional to 1,649.23, 2,474.15 and 919.62 is: 1,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.23 : 2,474.15 = 919.62 : x
  2. Step 2: Convert to fraction form
    1,649.23/2,474.15 = 919.62/x
  3. Step 3: Cross multiply
    1,649.23x = 2,474.15 × 919.62
  4. Step 4: Simplify right side
    1,649.23x = 2,275,273.22
  5. Step 5: Solve for x
    x = 2,275,273.22/1,649.23
  6. Step 6: Final answer
    x = 1,379.60

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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.