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Finding the Fourth Proportional to 1,556.13, 2,147.49 and 857.50

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Solution

The fourth proportional to 1,556.13, 2,147.49 and 857.50 is: 1,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.13 : 2,147.49 = 857.50 : x
  2. Step 2: Convert to fraction form
    1,556.13/2,147.49 = 857.50/x
  3. Step 3: Cross multiply
    1,556.13x = 2,147.49 × 857.50
  4. Step 4: Simplify right side
    1,556.13x = 1,841,472.68
  5. Step 5: Solve for x
    x = 1,841,472.68/1,556.13
  6. Step 6: Final answer
    x = 1,183.37

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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.