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Finding the Fourth Proportional to 2,804.41, 3,872.78 and 2,266.57

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Solution

The fourth proportional to 2,804.41, 3,872.78 and 2,266.57 is: 3,130.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.41 : 3,872.78 = 2,266.57 : x
  2. Step 2: Convert to fraction form
    2,804.41/3,872.78 = 2,266.57/x
  3. Step 3: Cross multiply
    2,804.41x = 3,872.78 × 2,266.57
  4. Step 4: Simplify right side
    2,804.41x = 8,777,926.96
  5. Step 5: Solve for x
    x = 8,777,926.96/2,804.41
  6. Step 6: Final answer
    x = 3,130.04

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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.