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Finding the Fourth Proportional to 2,651.60, 3,977.88 and 1,190.80

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Solution

The fourth proportional to 2,651.60, 3,977.88 and 1,190.80 is: 1,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651.60 : 3,977.88 = 1,190.80 : x
  2. Step 2: Convert to fraction form
    2,651.60/3,977.88 = 1,190.80/x
  3. Step 3: Cross multiply
    2,651.60x = 3,977.88 × 1,190.80
  4. Step 4: Simplify right side
    2,651.60x = 4,736,859.50
  5. Step 5: Solve for x
    x = 4,736,859.50/2,651.60
  6. Step 6: Final answer
    x = 1,786.42

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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.