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Finding the Fourth Proportional to 1,815.77, 2,722.97 and 582.86

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Solution

The fourth proportional to 1,815.77, 2,722.97 and 582.86 is: 874.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.77 : 2,722.97 = 582.86 : x
  2. Step 2: Convert to fraction form
    1,815.77/2,722.97 = 582.86/x
  3. Step 3: Cross multiply
    1,815.77x = 2,722.97 × 582.86
  4. Step 4: Simplify right side
    1,815.77x = 1,587,093.77
  5. Step 5: Solve for x
    x = 1,587,093.77/1,815.77
  6. Step 6: Final answer
    x = 874.06

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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.