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Finding the Fourth Proportional to 1,326.31, 1,829.19 and 1,308.09

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Solution

The fourth proportional to 1,326.31, 1,829.19 and 1,308.09 is: 1,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.31 : 1,829.19 = 1,308.09 : x
  2. Step 2: Convert to fraction form
    1,326.31/1,829.19 = 1,308.09/x
  3. Step 3: Cross multiply
    1,326.31x = 1,829.19 × 1,308.09
  4. Step 4: Simplify right side
    1,326.31x = 2,392,745.15
  5. Step 5: Solve for x
    x = 2,392,745.15/1,326.31
  6. Step 6: Final answer
    x = 1,804.06

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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.