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Finding the Fourth Proportional to 4,270.94, 6,406.74 and 1,639.71

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Solution

The fourth proportional to 4,270.94, 6,406.74 and 1,639.71 is: 2,459.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,270.94 : 6,406.74 = 1,639.71 : x
  2. Step 2: Convert to fraction form
    4,270.94/6,406.74 = 1,639.71/x
  3. Step 3: Cross multiply
    4,270.94x = 6,406.74 × 1,639.71
  4. Step 4: Simplify right side
    4,270.94x = 10,505,195.65
  5. Step 5: Solve for x
    x = 10,505,195.65/4,270.94
  6. Step 6: Final answer
    x = 2,459.69

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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.