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Finding the Fourth Proportional to 2,338.58, 3,507.83 and 1,352.88

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Solution

The fourth proportional to 2,338.58, 3,507.83 and 1,352.88 is: 2,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.58 : 3,507.83 = 1,352.88 : x
  2. Step 2: Convert to fraction form
    2,338.58/3,507.83 = 1,352.88/x
  3. Step 3: Cross multiply
    2,338.58x = 3,507.83 × 1,352.88
  4. Step 4: Simplify right side
    2,338.58x = 4,745,673.05
  5. Step 5: Solve for x
    x = 4,745,673.05/2,338.58
  6. Step 6: Final answer
    x = 2,029.30

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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.