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Finding the Fourth Proportional to 3,080.80, 4,621.20 and 889.60

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Solution

The fourth proportional to 3,080.80, 4,621.20 and 889.60 is: 1,334.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.80 : 4,621.20 = 889.60 : x
  2. Step 2: Convert to fraction form
    3,080.80/4,621.20 = 889.60/x
  3. Step 3: Cross multiply
    3,080.80x = 4,621.20 × 889.60
  4. Step 4: Simplify right side
    3,080.80x = 4,111,019.52
  5. Step 5: Solve for x
    x = 4,111,019.52/3,080.80
  6. Step 6: Final answer
    x = 1,334.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.