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Finding the Fourth Proportional to 4,136.70, 6,203.10 and 1,604.99

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Solution

The fourth proportional to 4,136.70, 6,203.10 and 1,604.99 is: 2,406.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,136.70 : 6,203.10 = 1,604.99 : x
  2. Step 2: Convert to fraction form
    4,136.70/6,203.10 = 1,604.99/x
  3. Step 3: Cross multiply
    4,136.70x = 6,203.10 × 1,604.99
  4. Step 4: Simplify right side
    4,136.70x = 9,955,913.47
  5. Step 5: Solve for x
    x = 9,955,913.47/4,136.70
  6. Step 6: Final answer
    x = 2,406.73

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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.