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Finding the Fourth Proportional to 1,896.66, 2,847.42 and 1,609.92

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Solution

The fourth proportional to 1,896.66, 2,847.42 and 1,609.92 is: 2,416.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.66 : 2,847.42 = 1,609.92 : x
  2. Step 2: Convert to fraction form
    1,896.66/2,847.42 = 1,609.92/x
  3. Step 3: Cross multiply
    1,896.66x = 2,847.42 × 1,609.92
  4. Step 4: Simplify right side
    1,896.66x = 4,584,118.41
  5. Step 5: Solve for x
    x = 4,584,118.41/1,896.66
  6. Step 6: Final answer
    x = 2,416.94

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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.