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Finding the Fourth Proportional to 2,380.80, 3,571.20 and 2,202.60

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Solution

The fourth proportional to 2,380.80, 3,571.20 and 2,202.60 is: 3,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.80 : 3,571.20 = 2,202.60 : x
  2. Step 2: Convert to fraction form
    2,380.80/3,571.20 = 2,202.60/x
  3. Step 3: Cross multiply
    2,380.80x = 3,571.20 × 2,202.60
  4. Step 4: Simplify right side
    2,380.80x = 7,865,925.12
  5. Step 5: Solve for x
    x = 7,865,925.12/2,380.80
  6. Step 6: Final answer
    x = 3,303.90

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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.