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Finding the Fourth Proportional to 2,811.80, 4,209.60 and 2,651.60

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Solution

The fourth proportional to 2,811.80, 4,209.60 and 2,651.60 is: 3,969.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.80 : 4,209.60 = 2,651.60 : x
  2. Step 2: Convert to fraction form
    2,811.80/4,209.60 = 2,651.60/x
  3. Step 3: Cross multiply
    2,811.80x = 4,209.60 × 2,651.60
  4. Step 4: Simplify right side
    2,811.80x = 11,162,175.36
  5. Step 5: Solve for x
    x = 11,162,175.36/2,811.80
  6. Step 6: Final answer
    x = 3,969.76

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1.5x scale

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.