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Finding the Fourth Proportional to 2,986.75, 4,451.19 and 2,831.23

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Solution

The fourth proportional to 2,986.75, 4,451.19 and 2,831.23 is: 4,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.75 : 4,451.19 = 2,831.23 : x
  2. Step 2: Convert to fraction form
    2,986.75/4,451.19 = 2,831.23/x
  3. Step 3: Cross multiply
    2,986.75x = 4,451.19 × 2,831.23
  4. Step 4: Simplify right side
    2,986.75x = 12,602,335.59
  5. Step 5: Solve for x
    x = 12,602,335.59/2,986.75
  6. Step 6: Final answer
    x = 4,219.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.