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Finding the Fourth Proportional to 3,064.98, 4,229.46 and 1,738.71

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Solution

The fourth proportional to 3,064.98, 4,229.46 and 1,738.71 is: 2,399.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.98 : 4,229.46 = 1,738.71 : x
  2. Step 2: Convert to fraction form
    3,064.98/4,229.46 = 1,738.71/x
  3. Step 3: Cross multiply
    3,064.98x = 4,229.46 × 1,738.71
  4. Step 4: Simplify right side
    3,064.98x = 7,353,804.40
  5. Step 5: Solve for x
    x = 7,353,804.40/3,064.98
  6. Step 6: Final answer
    x = 2,399.30

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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.