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Finding the Fourth Proportional to 1,818.71, 2,729.20 and 831.37

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Solution

The fourth proportional to 1,818.71, 2,729.20 and 831.37 is: 1,247.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.71 : 2,729.20 = 831.37 : x
  2. Step 2: Convert to fraction form
    1,818.71/2,729.20 = 831.37/x
  3. Step 3: Cross multiply
    1,818.71x = 2,729.20 × 831.37
  4. Step 4: Simplify right side
    1,818.71x = 2,268,957.20
  5. Step 5: Solve for x
    x = 2,268,957.20/1,818.71
  6. Step 6: Final answer
    x = 1,247.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.