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Finding the Fourth Proportional to 1,900.32, 2,847.24 and 858.60

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Solution

The fourth proportional to 1,900.32, 2,847.24 and 858.60 is: 1,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,900.32 : 2,847.24 = 858.60 : x
  2. Step 2: Convert to fraction form
    1,900.32/2,847.24 = 858.60/x
  3. Step 3: Cross multiply
    1,900.32x = 2,847.24 × 858.60
  4. Step 4: Simplify right side
    1,900.32x = 2,444,640.26
  5. Step 5: Solve for x
    x = 2,444,640.26/1,900.32
  6. Step 6: Final answer
    x = 1,286.44

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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.