Home / 2,046.64-2,824.44-1,162.56

Finding the Fourth Proportional to 2,046.64, 2,824.44 and 1,162.56

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Solution

The fourth proportional to 2,046.64, 2,824.44 and 1,162.56 is: 1,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.64 : 2,824.44 = 1,162.56 : x
  2. Step 2: Convert to fraction form
    2,046.64/2,824.44 = 1,162.56/x
  3. Step 3: Cross multiply
    2,046.64x = 2,824.44 × 1,162.56
  4. Step 4: Simplify right side
    2,046.64x = 3,283,580.97
  5. Step 5: Solve for x
    x = 3,283,580.97/2,046.64
  6. Step 6: Final answer
    x = 1,604.38

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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.