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Finding the Fourth Proportional to 2,238.20, 3,357.60 and 777.80

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Solution

The fourth proportional to 2,238.20, 3,357.60 and 777.80 is: 1,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.20 : 3,357.60 = 777.80 : x
  2. Step 2: Convert to fraction form
    2,238.20/3,357.60 = 777.80/x
  3. Step 3: Cross multiply
    2,238.20x = 3,357.60 × 777.80
  4. Step 4: Simplify right side
    2,238.20x = 2,611,541.28
  5. Step 5: Solve for x
    x = 2,611,541.28/2,238.20
  6. Step 6: Final answer
    x = 1,166.80

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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.