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Finding the Fourth Proportional to 1,884.01, 2,822.37 and 1,449.04

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Solution

The fourth proportional to 1,884.01, 2,822.37 and 1,449.04 is: 2,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.01 : 2,822.37 = 1,449.04 : x
  2. Step 2: Convert to fraction form
    1,884.01/2,822.37 = 1,449.04/x
  3. Step 3: Cross multiply
    1,884.01x = 2,822.37 × 1,449.04
  4. Step 4: Simplify right side
    1,884.01x = 4,089,727.02
  5. Step 5: Solve for x
    x = 4,089,727.02/1,884.01
  6. Step 6: Final answer
    x = 2,170.76

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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.