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Finding the Fourth Proportional to 1,218.36, 1,823.22 and 892.92

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Solution

The fourth proportional to 1,218.36, 1,823.22 and 892.92 is: 1,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.36 : 1,823.22 = 892.92 : x
  2. Step 2: Convert to fraction form
    1,218.36/1,823.22 = 892.92/x
  3. Step 3: Cross multiply
    1,218.36x = 1,823.22 × 892.92
  4. Step 4: Simplify right side
    1,218.36x = 1,627,989.60
  5. Step 5: Solve for x
    x = 1,627,989.60/1,218.36
  6. Step 6: Final answer
    x = 1,336.21

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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.