Home / 1,517.09-2,276.03-823.58

Finding the Fourth Proportional to 1,517.09, 2,276.03 and 823.58

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Solution

The fourth proportional to 1,517.09, 2,276.03 and 823.58 is: 1,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.09 : 2,276.03 = 823.58 : x
  2. Step 2: Convert to fraction form
    1,517.09/2,276.03 = 823.58/x
  3. Step 3: Cross multiply
    1,517.09x = 2,276.03 × 823.58
  4. Step 4: Simplify right side
    1,517.09x = 1,874,498.48
  5. Step 5: Solve for x
    x = 1,874,498.48/1,517.09
  6. Step 6: Final answer
    x = 1,235.59

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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.