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Finding the Fourth Proportional to 2,831.50, 3,907.83 and 1,589.50

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Solution

The fourth proportional to 2,831.50, 3,907.83 and 1,589.50 is: 2,193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.50 : 3,907.83 = 1,589.50 : x
  2. Step 2: Convert to fraction form
    2,831.50/3,907.83 = 1,589.50/x
  3. Step 3: Cross multiply
    2,831.50x = 3,907.83 × 1,589.50
  4. Step 4: Simplify right side
    2,831.50x = 6,211,495.79
  5. Step 5: Solve for x
    x = 6,211,495.79/2,831.50
  6. Step 6: Final answer
    x = 2,193.71

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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.