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Finding the Fourth Proportional to 4,157.49, 6,238.26 and 1,694.01

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Solution

The fourth proportional to 4,157.49, 6,238.26 and 1,694.01 is: 2,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.49 : 6,238.26 = 1,694.01 : x
  2. Step 2: Convert to fraction form
    4,157.49/6,238.26 = 1,694.01/x
  3. Step 3: Cross multiply
    4,157.49x = 6,238.26 × 1,694.01
  4. Step 4: Simplify right side
    4,157.49x = 10,567,674.82
  5. Step 5: Solve for x
    x = 10,567,674.82/4,157.49
  6. Step 6: Final answer
    x = 2,541.84

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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.