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Finding the Fourth Proportional to 1,881.35, 2,821.92 and 582.78

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Solution

The fourth proportional to 1,881.35, 2,821.92 and 582.78 is: 874.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.35 : 2,821.92 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,881.35/2,821.92 = 582.78/x
  3. Step 3: Cross multiply
    1,881.35x = 2,821.92 × 582.78
  4. Step 4: Simplify right side
    1,881.35x = 1,644,558.54
  5. Step 5: Solve for x
    x = 1,644,558.54/1,881.35
  6. Step 6: Final answer
    x = 874.14

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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.