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Finding the Fourth Proportional to 2,062.83, 3,094.03 and 582.02

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Solution

The fourth proportional to 2,062.83, 3,094.03 and 582.02 is: 872.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.83 : 3,094.03 = 582.02 : x
  2. Step 2: Convert to fraction form
    2,062.83/3,094.03 = 582.02/x
  3. Step 3: Cross multiply
    2,062.83x = 3,094.03 × 582.02
  4. Step 4: Simplify right side
    2,062.83x = 1,800,784.20
  5. Step 5: Solve for x
    x = 1,800,784.20/2,062.83
  6. Step 6: Final answer
    x = 872.97

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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.