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Finding the Fourth Proportional to 2,489.67, 3,733.49 and 1,084.19

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Solution

The fourth proportional to 2,489.67, 3,733.49 and 1,084.19 is: 1,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.67 : 3,733.49 = 1,084.19 : x
  2. Step 2: Convert to fraction form
    2,489.67/3,733.49 = 1,084.19/x
  3. Step 3: Cross multiply
    2,489.67x = 3,733.49 × 1,084.19
  4. Step 4: Simplify right side
    2,489.67x = 4,047,796.57
  5. Step 5: Solve for x
    x = 4,047,796.57/2,489.67
  6. Step 6: Final answer
    x = 1,625.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.