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Finding the Fourth Proportional to 1,858.92, 2,791.43 and 1,165.56

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Solution

The fourth proportional to 1,858.92, 2,791.43 and 1,165.56 is: 1,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.92 : 2,791.43 = 1,165.56 : x
  2. Step 2: Convert to fraction form
    1,858.92/2,791.43 = 1,165.56/x
  3. Step 3: Cross multiply
    1,858.92x = 2,791.43 × 1,165.56
  4. Step 4: Simplify right side
    1,858.92x = 3,253,573.32
  5. Step 5: Solve for x
    x = 3,253,573.32/1,858.92
  6. Step 6: Final answer
    x = 1,750.25

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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.