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Finding the Fourth Proportional to 2,072.67, 2,858.84 and 1,408.37

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Solution

The fourth proportional to 2,072.67, 2,858.84 and 1,408.37 is: 1,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.67 : 2,858.84 = 1,408.37 : x
  2. Step 2: Convert to fraction form
    2,072.67/2,858.84 = 1,408.37/x
  3. Step 3: Cross multiply
    2,072.67x = 2,858.84 × 1,408.37
  4. Step 4: Simplify right side
    2,072.67x = 4,026,283.15
  5. Step 5: Solve for x
    x = 4,026,283.15/2,072.67
  6. Step 6: Final answer
    x = 1,942.56

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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.