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Finding the Fourth Proportional to 2,346.98, 3,238.58 and 1,352.09

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Solution

The fourth proportional to 2,346.98, 3,238.58 and 1,352.09 is: 1,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.98 : 3,238.58 = 1,352.09 : x
  2. Step 2: Convert to fraction form
    2,346.98/3,238.58 = 1,352.09/x
  3. Step 3: Cross multiply
    2,346.98x = 3,238.58 × 1,352.09
  4. Step 4: Simplify right side
    2,346.98x = 4,378,863.11
  5. Step 5: Solve for x
    x = 4,378,863.11/2,346.98
  6. Step 6: Final answer
    x = 1,865.75

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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.