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Finding the Fourth Proportional to 1,420.09, 1,958.94 and 1,327.87

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Solution

The fourth proportional to 1,420.09, 1,958.94 and 1,327.87 is: 1,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.09 : 1,958.94 = 1,327.87 : x
  2. Step 2: Convert to fraction form
    1,420.09/1,958.94 = 1,327.87/x
  3. Step 3: Cross multiply
    1,420.09x = 1,958.94 × 1,327.87
  4. Step 4: Simplify right side
    1,420.09x = 2,601,217.66
  5. Step 5: Solve for x
    x = 2,601,217.66/1,420.09
  6. Step 6: Final answer
    x = 1,831.73

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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.