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Finding the Fourth Proportional to 2,449.08, 3,674.13 and 1,149.84

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Solution

The fourth proportional to 2,449.08, 3,674.13 and 1,149.84 is: 1,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.08 : 3,674.13 = 1,149.84 : x
  2. Step 2: Convert to fraction form
    2,449.08/3,674.13 = 1,149.84/x
  3. Step 3: Cross multiply
    2,449.08x = 3,674.13 × 1,149.84
  4. Step 4: Simplify right side
    2,449.08x = 4,224,661.64
  5. Step 5: Solve for x
    x = 4,224,661.64/2,449.08
  6. Step 6: Final answer
    x = 1,725.00

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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.