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Finding the Fourth Proportional to 1,976.17, 2,725.32 and 1,229.89

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Solution

The fourth proportional to 1,976.17, 2,725.32 and 1,229.89 is: 1,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.17 : 2,725.32 = 1,229.89 : x
  2. Step 2: Convert to fraction form
    1,976.17/2,725.32 = 1,229.89/x
  3. Step 3: Cross multiply
    1,976.17x = 2,725.32 × 1,229.89
  4. Step 4: Simplify right side
    1,976.17x = 3,351,843.81
  5. Step 5: Solve for x
    x = 3,351,843.81/1,976.17
  6. Step 6: Final answer
    x = 1,696.13

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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.