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Finding the Fourth Proportional to 2,831.41, 3,908.01 and 1,887.22

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Solution

The fourth proportional to 2,831.41, 3,908.01 and 1,887.22 is: 2,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.41 : 3,908.01 = 1,887.22 : x
  2. Step 2: Convert to fraction form
    2,831.41/3,908.01 = 1,887.22/x
  3. Step 3: Cross multiply
    2,831.41x = 3,908.01 × 1,887.22
  4. Step 4: Simplify right side
    2,831.41x = 7,375,274.63
  5. Step 5: Solve for x
    x = 7,375,274.63/2,831.41
  6. Step 6: Final answer
    x = 2,604.81

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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.