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Finding the Fourth Proportional to 1,979.37, 2,969.42 and 680.52

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Solution

The fourth proportional to 1,979.37, 2,969.42 and 680.52 is: 1,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.37 : 2,969.42 = 680.52 : x
  2. Step 2: Convert to fraction form
    1,979.37/2,969.42 = 680.52/x
  3. Step 3: Cross multiply
    1,979.37x = 2,969.42 × 680.52
  4. Step 4: Simplify right side
    1,979.37x = 2,020,746.30
  5. Step 5: Solve for x
    x = 2,020,746.30/1,979.37
  6. Step 6: Final answer
    x = 1,020.90

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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.