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Finding the Fourth Proportional to 3,064.94, 4,229.47 and 1,738.61

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Solution

The fourth proportional to 3,064.94, 4,229.47 and 1,738.61 is: 2,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.94 : 4,229.47 = 1,738.61 : x
  2. Step 2: Convert to fraction form
    3,064.94/4,229.47 = 1,738.61/x
  3. Step 3: Cross multiply
    3,064.94x = 4,229.47 × 1,738.61
  4. Step 4: Simplify right side
    3,064.94x = 7,353,409.73
  5. Step 5: Solve for x
    x = 7,353,409.73/3,064.94
  6. Step 6: Final answer
    x = 2,399.20

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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.