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Finding the Fourth Proportional to 2,777.88, 3,831.67 and 1,833.22

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Solution

The fourth proportional to 2,777.88, 3,831.67 and 1,833.22 is: 2,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.88 : 3,831.67 = 1,833.22 : x
  2. Step 2: Convert to fraction form
    2,777.88/3,831.67 = 1,833.22/x
  3. Step 3: Cross multiply
    2,777.88x = 3,831.67 × 1,833.22
  4. Step 4: Simplify right side
    2,777.88x = 7,024,294.08
  5. Step 5: Solve for x
    x = 7,024,294.08/2,777.88
  6. Step 6: Final answer
    x = 2,528.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.