Home / 1,461.24-2,015.28-1,198.80

Finding the Fourth Proportional to 1,461.24, 2,015.28 and 1,198.80

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Solution

The fourth proportional to 1,461.24, 2,015.28 and 1,198.80 is: 1,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.24 : 2,015.28 = 1,198.80 : x
  2. Step 2: Convert to fraction form
    1,461.24/2,015.28 = 1,198.80/x
  3. Step 3: Cross multiply
    1,461.24x = 2,015.28 × 1,198.80
  4. Step 4: Simplify right side
    1,461.24x = 2,415,917.66
  5. Step 5: Solve for x
    x = 2,415,917.66/1,461.24
  6. Step 6: Final answer
    x = 1,653.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.