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Finding the Fourth Proportional to 3,191.44, 4,403.47 and 1,846.84

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Solution

The fourth proportional to 3,191.44, 4,403.47 and 1,846.84 is: 2,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.44 : 4,403.47 = 1,846.84 : x
  2. Step 2: Convert to fraction form
    3,191.44/4,403.47 = 1,846.84/x
  3. Step 3: Cross multiply
    3,191.44x = 4,403.47 × 1,846.84
  4. Step 4: Simplify right side
    3,191.44x = 8,132,473.28
  5. Step 5: Solve for x
    x = 8,132,473.28/3,191.44
  6. Step 6: Final answer
    x = 2,548.22

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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.