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Finding the Fourth Proportional to 4,160.74, 6,241.10 and 1,694.98

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Solution

The fourth proportional to 4,160.74, 6,241.10 and 1,694.98 is: 2,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,160.74 : 6,241.10 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    4,160.74/6,241.10 = 1,694.98/x
  3. Step 3: Cross multiply
    4,160.74x = 6,241.10 × 1,694.98
  4. Step 4: Simplify right side
    4,160.74x = 10,578,539.68
  5. Step 5: Solve for x
    x = 10,578,539.68/4,160.74
  6. Step 6: Final answer
    x = 2,542.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.