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Finding the Fourth Proportional to 1,831.56, 2,743.80 and 963.78

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Solution

The fourth proportional to 1,831.56, 2,743.80 and 963.78 is: 1,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.56 : 2,743.80 = 963.78 : x
  2. Step 2: Convert to fraction form
    1,831.56/2,743.80 = 963.78/x
  3. Step 3: Cross multiply
    1,831.56x = 2,743.80 × 963.78
  4. Step 4: Simplify right side
    1,831.56x = 2,644,419.56
  5. Step 5: Solve for x
    x = 2,644,419.56/1,831.56
  6. Step 6: Final answer
    x = 1,443.81

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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.