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Finding the Fourth Proportional to 1,882.01, 2,823.19 and 495.33

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Solution

The fourth proportional to 1,882.01, 2,823.19 and 495.33 is: 743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.01 : 2,823.19 = 495.33 : x
  2. Step 2: Convert to fraction form
    1,882.01/2,823.19 = 495.33/x
  3. Step 3: Cross multiply
    1,882.01x = 2,823.19 × 495.33
  4. Step 4: Simplify right side
    1,882.01x = 1,398,398.88
  5. Step 5: Solve for x
    x = 1,398,398.88/1,882.01
  6. Step 6: Final answer
    x = 743.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.