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Finding the Fourth Proportional to 2,831.07, 4,249.31 and 1,737.57

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Solution

The fourth proportional to 2,831.07, 4,249.31 and 1,737.57 is: 2,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.07 : 4,249.31 = 1,737.57 : x
  2. Step 2: Convert to fraction form
    2,831.07/4,249.31 = 1,737.57/x
  3. Step 3: Cross multiply
    2,831.07x = 4,249.31 × 1,737.57
  4. Step 4: Simplify right side
    2,831.07x = 7,383,473.58
  5. Step 5: Solve for x
    x = 7,383,473.58/2,831.07
  6. Step 6: Final answer
    x = 2,608.02

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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.