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Finding the Fourth Proportional to 3,149.37, 4,346.06 and 1,733.09

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Solution

The fourth proportional to 3,149.37, 4,346.06 and 1,733.09 is: 2,391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.37 : 4,346.06 = 1,733.09 : x
  2. Step 2: Convert to fraction form
    3,149.37/4,346.06 = 1,733.09/x
  3. Step 3: Cross multiply
    3,149.37x = 4,346.06 × 1,733.09
  4. Step 4: Simplify right side
    3,149.37x = 7,532,106.59
  5. Step 5: Solve for x
    x = 7,532,106.59/3,149.37
  6. Step 6: Final answer
    x = 2,391.62

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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.