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Finding the Fourth Proportional to 1,979.36, 2,969.10 and 825.20

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Solution

The fourth proportional to 1,979.36, 2,969.10 and 825.20 is: 1,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.36 : 2,969.10 = 825.20 : x
  2. Step 2: Convert to fraction form
    1,979.36/2,969.10 = 825.20/x
  3. Step 3: Cross multiply
    1,979.36x = 2,969.10 × 825.20
  4. Step 4: Simplify right side
    1,979.36x = 2,450,101.32
  5. Step 5: Solve for x
    x = 2,450,101.32/1,979.36
  6. Step 6: Final answer
    x = 1,237.83

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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.