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Finding the Fourth Proportional to 2,755.26, 4,134.06 and 1,831.14

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Solution

The fourth proportional to 2,755.26, 4,134.06 and 1,831.14 is: 2,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.26 : 4,134.06 = 1,831.14 : x
  2. Step 2: Convert to fraction form
    2,755.26/4,134.06 = 1,831.14/x
  3. Step 3: Cross multiply
    2,755.26x = 4,134.06 × 1,831.14
  4. Step 4: Simplify right side
    2,755.26x = 7,570,042.63
  5. Step 5: Solve for x
    x = 7,570,042.63/2,755.26
  6. Step 6: Final answer
    x = 2,747.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.