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Finding the Fourth Proportional to 1,556.41, 2,147.87 and 848.26

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Solution

The fourth proportional to 1,556.41, 2,147.87 and 848.26 is: 1,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.41 : 2,147.87 = 848.26 : x
  2. Step 2: Convert to fraction form
    1,556.41/2,147.87 = 848.26/x
  3. Step 3: Cross multiply
    1,556.41x = 2,147.87 × 848.26
  4. Step 4: Simplify right side
    1,556.41x = 1,821,942.60
  5. Step 5: Solve for x
    x = 1,821,942.60/1,556.41
  6. Step 6: Final answer
    x = 1,170.61

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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.