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Finding the Fourth Proportional to 1,979.75, 2,724.77 and 1,696.80

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Solution

The fourth proportional to 1,979.75, 2,724.77 and 1,696.80 is: 2,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.75 : 2,724.77 = 1,696.80 : x
  2. Step 2: Convert to fraction form
    1,979.75/2,724.77 = 1,696.80/x
  3. Step 3: Cross multiply
    1,979.75x = 2,724.77 × 1,696.80
  4. Step 4: Simplify right side
    1,979.75x = 4,623,381.25
  5. Step 5: Solve for x
    x = 4,623,381.25/1,979.75
  6. Step 6: Final answer
    x = 2,335.34

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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.