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Finding the Fourth Proportional to 3,149.49, 4,722.68 and 1,833.69

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Solution

The fourth proportional to 3,149.49, 4,722.68 and 1,833.69 is: 2,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.49 : 4,722.68 = 1,833.69 : x
  2. Step 2: Convert to fraction form
    3,149.49/4,722.68 = 1,833.69/x
  3. Step 3: Cross multiply
    3,149.49x = 4,722.68 × 1,833.69
  4. Step 4: Simplify right side
    3,149.49x = 8,659,931.09
  5. Step 5: Solve for x
    x = 8,659,931.09/3,149.49
  6. Step 6: Final answer
    x = 2,749.63

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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.