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Finding the Fourth Proportional to 1,898.30, 2,847.43 and 857.56

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Solution

The fourth proportional to 1,898.30, 2,847.43 and 857.56 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.30 : 2,847.43 = 857.56 : x
  2. Step 2: Convert to fraction form
    1,898.30/2,847.43 = 857.56/x
  3. Step 3: Cross multiply
    1,898.30x = 2,847.43 × 857.56
  4. Step 4: Simplify right side
    1,898.30x = 2,441,842.07
  5. Step 5: Solve for x
    x = 2,441,842.07/1,898.30
  6. Step 6: Final answer
    x = 1,286.33

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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.