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Finding the Fourth Proportional to 1,829.48, 2,743.86 and 495.25

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Solution

The fourth proportional to 1,829.48, 2,743.86 and 495.25 is: 742.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.48 : 2,743.86 = 495.25 : x
  2. Step 2: Convert to fraction form
    1,829.48/2,743.86 = 495.25/x
  3. Step 3: Cross multiply
    1,829.48x = 2,743.86 × 495.25
  4. Step 4: Simplify right side
    1,829.48x = 1,358,891.66
  5. Step 5: Solve for x
    x = 1,358,891.66/1,829.48
  6. Step 6: Final answer
    x = 742.78

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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.