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Finding the Fourth Proportional to 1,555.99, 2,147.26 and 857.37

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Solution

The fourth proportional to 1,555.99, 2,147.26 and 857.37 is: 1,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.99 : 2,147.26 = 857.37 : x
  2. Step 2: Convert to fraction form
    1,555.99/2,147.26 = 857.37/x
  3. Step 3: Cross multiply
    1,555.99x = 2,147.26 × 857.37
  4. Step 4: Simplify right side
    1,555.99x = 1,840,996.31
  5. Step 5: Solve for x
    x = 1,840,996.31/1,555.99
  6. Step 6: Final answer
    x = 1,183.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.