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Finding the Fourth Proportional to 2,559.83, 3,841.83 and 1,327.61

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Solution

The fourth proportional to 2,559.83, 3,841.83 and 1,327.61 is: 1,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.83 : 3,841.83 = 1,327.61 : x
  2. Step 2: Convert to fraction form
    2,559.83/3,841.83 = 1,327.61/x
  3. Step 3: Cross multiply
    2,559.83x = 3,841.83 × 1,327.61
  4. Step 4: Simplify right side
    2,559.83x = 5,100,432.72
  5. Step 5: Solve for x
    x = 5,100,432.72/2,559.83
  6. Step 6: Final answer
    x = 1,992.49

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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.