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Finding the Fourth Proportional to 2,266.36, 3,392.80 and 2,028.78

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Solution

The fourth proportional to 2,266.36, 3,392.80 and 2,028.78 is: 3,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.36 : 3,392.80 = 2,028.78 : x
  2. Step 2: Convert to fraction form
    2,266.36/3,392.80 = 2,028.78/x
  3. Step 3: Cross multiply
    2,266.36x = 3,392.80 × 2,028.78
  4. Step 4: Simplify right side
    2,266.36x = 6,883,244.78
  5. Step 5: Solve for x
    x = 6,883,244.78/2,266.36
  6. Step 6: Final answer
    x = 3,037.14

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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.