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Finding the Fourth Proportional to 2,352.94, 3,239.64 and 1,791.61

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Solution

The fourth proportional to 2,352.94, 3,239.64 and 1,791.61 is: 2,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.94 : 3,239.64 = 1,791.61 : x
  2. Step 2: Convert to fraction form
    2,352.94/3,239.64 = 1,791.61/x
  3. Step 3: Cross multiply
    2,352.94x = 3,239.64 × 1,791.61
  4. Step 4: Simplify right side
    2,352.94x = 5,804,171.42
  5. Step 5: Solve for x
    x = 5,804,171.42/2,352.94
  6. Step 6: Final answer
    x = 2,466.77

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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.