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Finding the Fourth Proportional to 1,846.97, 2,549.32 and 1,249.19

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Solution

The fourth proportional to 1,846.97, 2,549.32 and 1,249.19 is: 1,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.97 : 2,549.32 = 1,249.19 : x
  2. Step 2: Convert to fraction form
    1,846.97/2,549.32 = 1,249.19/x
  3. Step 3: Cross multiply
    1,846.97x = 2,549.32 × 1,249.19
  4. Step 4: Simplify right side
    1,846.97x = 3,184,585.05
  5. Step 5: Solve for x
    x = 3,184,585.05/1,846.97
  6. Step 6: Final answer
    x = 1,724.22

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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.