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Finding the Fourth Proportional to 2,831.62, 3,907.41 and 1,635.76

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Solution

The fourth proportional to 2,831.62, 3,907.41 and 1,635.76 is: 2,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.62 : 3,907.41 = 1,635.76 : x
  2. Step 2: Convert to fraction form
    2,831.62/3,907.41 = 1,635.76/x
  3. Step 3: Cross multiply
    2,831.62x = 3,907.41 × 1,635.76
  4. Step 4: Simplify right side
    2,831.62x = 6,391,584.98
  5. Step 5: Solve for x
    x = 6,391,584.98/2,831.62
  6. Step 6: Final answer
    x = 2,257.22

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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.