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Finding the Fourth Proportional to 1,409.54, 1,940.11 and 1,170.86

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Solution

The fourth proportional to 1,409.54, 1,940.11 and 1,170.86 is: 1,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.54 : 1,940.11 = 1,170.86 : x
  2. Step 2: Convert to fraction form
    1,409.54/1,940.11 = 1,170.86/x
  3. Step 3: Cross multiply
    1,409.54x = 1,940.11 × 1,170.86
  4. Step 4: Simplify right side
    1,409.54x = 2,271,584.57
  5. Step 5: Solve for x
    x = 2,271,584.57/1,409.54
  6. Step 6: Final answer
    x = 1,611.58

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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.