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Finding the Fourth Proportional to 2,672.06, 3,683.54 and 1,831.41

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Solution

The fourth proportional to 2,672.06, 3,683.54 and 1,831.41 is: 2,524.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.06 : 3,683.54 = 1,831.41 : x
  2. Step 2: Convert to fraction form
    2,672.06/3,683.54 = 1,831.41/x
  3. Step 3: Cross multiply
    2,672.06x = 3,683.54 × 1,831.41
  4. Step 4: Simplify right side
    2,672.06x = 6,746,076.57
  5. Step 5: Solve for x
    x = 6,746,076.57/2,672.06
  6. Step 6: Final answer
    x = 2,524.68

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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.