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Finding the Fourth Proportional to 2,563.77, 3,842.92 and 1,831.12

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Solution

The fourth proportional to 2,563.77, 3,842.92 and 1,831.12 is: 2,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.77 : 3,842.92 = 1,831.12 : x
  2. Step 2: Convert to fraction form
    2,563.77/3,842.92 = 1,831.12/x
  3. Step 3: Cross multiply
    2,563.77x = 3,842.92 × 1,831.12
  4. Step 4: Simplify right side
    2,563.77x = 7,036,847.67
  5. Step 5: Solve for x
    x = 7,036,847.67/2,563.77
  6. Step 6: Final answer
    x = 2,744.73

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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.