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Finding the Fourth Proportional to 2,831.99, 3,908.60 and 1,573.44

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Solution

The fourth proportional to 2,831.99, 3,908.60 and 1,573.44 is: 2,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.99 : 3,908.60 = 1,573.44 : x
  2. Step 2: Convert to fraction form
    2,831.99/3,908.60 = 1,573.44/x
  3. Step 3: Cross multiply
    2,831.99x = 3,908.60 × 1,573.44
  4. Step 4: Simplify right side
    2,831.99x = 6,149,939.72
  5. Step 5: Solve for x
    x = 6,149,939.72/2,831.99
  6. Step 6: Final answer
    x = 2,171.60

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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.