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Finding the Fourth Proportional to 1,556.10, 2,147.33 and 892.46

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Solution

The fourth proportional to 1,556.10, 2,147.33 and 892.46 is: 1,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.10 : 2,147.33 = 892.46 : x
  2. Step 2: Convert to fraction form
    1,556.10/2,147.33 = 892.46/x
  3. Step 3: Cross multiply
    1,556.10x = 2,147.33 × 892.46
  4. Step 4: Simplify right side
    1,556.10x = 1,916,390.93
  5. Step 5: Solve for x
    x = 1,916,390.93/1,556.10
  6. Step 6: Final answer
    x = 1,231.53

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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.