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Finding the Fourth Proportional to 2,164.68, 2,986.44 and 1,367.78

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Solution

The fourth proportional to 2,164.68, 2,986.44 and 1,367.78 is: 1,887.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.68 : 2,986.44 = 1,367.78 : x
  2. Step 2: Convert to fraction form
    2,164.68/2,986.44 = 1,367.78/x
  3. Step 3: Cross multiply
    2,164.68x = 2,986.44 × 1,367.78
  4. Step 4: Simplify right side
    2,164.68x = 4,084,777.97
  5. Step 5: Solve for x
    x = 4,084,777.97/2,164.68
  6. Step 6: Final answer
    x = 1,887.01

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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.