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Finding the Fourth Proportional to 1,952.60, 2,936.10 and 1,635.80

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Solution

The fourth proportional to 1,952.60, 2,936.10 and 1,635.80 is: 2,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.60 : 2,936.10 = 1,635.80 : x
  2. Step 2: Convert to fraction form
    1,952.60/2,936.10 = 1,635.80/x
  3. Step 3: Cross multiply
    1,952.60x = 2,936.10 × 1,635.80
  4. Step 4: Simplify right side
    1,952.60x = 4,802,872.38
  5. Step 5: Solve for x
    x = 4,802,872.38/1,952.60
  6. Step 6: Final answer
    x = 2,459.73

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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.