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Finding the Fourth Proportional to 3,059.89, 4,222.56 and 1,733.71

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Solution

The fourth proportional to 3,059.89, 4,222.56 and 1,733.71 is: 2,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.89 : 4,222.56 = 1,733.71 : x
  2. Step 2: Convert to fraction form
    3,059.89/4,222.56 = 1,733.71/x
  3. Step 3: Cross multiply
    3,059.89x = 4,222.56 × 1,733.71
  4. Step 4: Simplify right side
    3,059.89x = 7,320,694.50
  5. Step 5: Solve for x
    x = 7,320,694.50/3,059.89
  6. Step 6: Final answer
    x = 2,392.47

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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.