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Finding the Fourth Proportional to 1,336.14, 1,844.51 and 894.33

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Solution

The fourth proportional to 1,336.14, 1,844.51 and 894.33 is: 1,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.14 : 1,844.51 = 894.33 : x
  2. Step 2: Convert to fraction form
    1,336.14/1,844.51 = 894.33/x
  3. Step 3: Cross multiply
    1,336.14x = 1,844.51 × 894.33
  4. Step 4: Simplify right side
    1,336.14x = 1,649,596.16
  5. Step 5: Solve for x
    x = 1,649,596.16/1,336.14
  6. Step 6: Final answer
    x = 1,234.60

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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.