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Finding the Fourth Proportional to 1,941.14, 2,912.92 and 786.90

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Solution

The fourth proportional to 1,941.14, 2,912.92 and 786.90 is: 1,180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.14 : 2,912.92 = 786.90 : x
  2. Step 2: Convert to fraction form
    1,941.14/2,912.92 = 786.90/x
  3. Step 3: Cross multiply
    1,941.14x = 2,912.92 × 786.90
  4. Step 4: Simplify right side
    1,941.14x = 2,292,176.75
  5. Step 5: Solve for x
    x = 2,292,176.75/1,941.14
  6. Step 6: Final answer
    x = 1,180.84

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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.