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Finding the Fourth Proportional to 1,976.88, 2,728.12 and 1,279.47

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Solution

The fourth proportional to 1,976.88, 2,728.12 and 1,279.47 is: 1,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.88 : 2,728.12 = 1,279.47 : x
  2. Step 2: Convert to fraction form
    1,976.88/2,728.12 = 1,279.47/x
  3. Step 3: Cross multiply
    1,976.88x = 2,728.12 × 1,279.47
  4. Step 4: Simplify right side
    1,976.88x = 3,490,547.70
  5. Step 5: Solve for x
    x = 3,490,547.70/1,976.88
  6. Step 6: Final answer
    x = 1,765.69

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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.