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Finding the Fourth Proportional to 1,341.26, 1,849.11 and 892.21

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Solution

The fourth proportional to 1,341.26, 1,849.11 and 892.21 is: 1,230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.26 : 1,849.11 = 892.21 : x
  2. Step 2: Convert to fraction form
    1,341.26/1,849.11 = 892.21/x
  3. Step 3: Cross multiply
    1,341.26x = 1,849.11 × 892.21
  4. Step 4: Simplify right side
    1,341.26x = 1,649,794.43
  5. Step 5: Solve for x
    x = 1,649,794.43/1,341.26
  6. Step 6: Final answer
    x = 1,230.03

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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.