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Finding the Fourth Proportional to 2,062.88, 3,094.25 and 582.20

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Solution

The fourth proportional to 2,062.88, 3,094.25 and 582.20 is: 873.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.88 : 3,094.25 = 582.20 : x
  2. Step 2: Convert to fraction form
    2,062.88/3,094.25 = 582.20/x
  3. Step 3: Cross multiply
    2,062.88x = 3,094.25 × 582.20
  4. Step 4: Simplify right side
    2,062.88x = 1,801,458.33
  5. Step 5: Solve for x
    x = 1,801,458.33/2,062.88
  6. Step 6: Final answer
    x = 873.28

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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.