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Finding the Fourth Proportional to 2,764.22, 3,814 and 2,018.60

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Solution

The fourth proportional to 2,764.22, 3,814 and 2,018.60 is: 2,785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.22 : 3,814 = 2,018.60 : x
  2. Step 2: Convert to fraction form
    2,764.22/3,814 = 2,018.60/x
  3. Step 3: Cross multiply
    2,764.22x = 3,814 × 2,018.60
  4. Step 4: Simplify right side
    2,764.22x = 7,698,940.40
  5. Step 5: Solve for x
    x = 7,698,940.40/2,764.22
  6. Step 6: Final answer
    x = 2,785.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.