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Finding the Fourth Proportional to 1,703.76, 2,556.37 and 882.61

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Solution

The fourth proportional to 1,703.76, 2,556.37 and 882.61 is: 1,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.76 : 2,556.37 = 882.61 : x
  2. Step 2: Convert to fraction form
    1,703.76/2,556.37 = 882.61/x
  3. Step 3: Cross multiply
    1,703.76x = 2,556.37 × 882.61
  4. Step 4: Simplify right side
    1,703.76x = 2,256,273.31
  5. Step 5: Solve for x
    x = 2,256,273.31/1,703.76
  6. Step 6: Final answer
    x = 1,324.29

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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.