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Finding the Fourth Proportional to 2,523.86, 3,781.08 and 1,828.83

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Solution

The fourth proportional to 2,523.86, 3,781.08 and 1,828.83 is: 2,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.86 : 3,781.08 = 1,828.83 : x
  2. Step 2: Convert to fraction form
    2,523.86/3,781.08 = 1,828.83/x
  3. Step 3: Cross multiply
    2,523.86x = 3,781.08 × 1,828.83
  4. Step 4: Simplify right side
    2,523.86x = 6,914,924.49
  5. Step 5: Solve for x
    x = 6,914,924.49/2,523.86
  6. Step 6: Final answer
    x = 2,739.83

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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.