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Finding the Fourth Proportional to 2,662.37, 3,991.70 and 1,180.78

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Solution

The fourth proportional to 2,662.37, 3,991.70 and 1,180.78 is: 1,770.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.37 : 3,991.70 = 1,180.78 : x
  2. Step 2: Convert to fraction form
    2,662.37/3,991.70 = 1,180.78/x
  3. Step 3: Cross multiply
    2,662.37x = 3,991.70 × 1,180.78
  4. Step 4: Simplify right side
    2,662.37x = 4,713,312.50
  5. Step 5: Solve for x
    x = 4,713,312.50/2,662.37
  6. Step 6: Final answer
    x = 1,770.35

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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.