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Finding the Fourth Proportional to 2,976.72, 4,106.77 and 1,797.36

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Solution

The fourth proportional to 2,976.72, 4,106.77 and 1,797.36 is: 2,479.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.72 : 4,106.77 = 1,797.36 : x
  2. Step 2: Convert to fraction form
    2,976.72/4,106.77 = 1,797.36/x
  3. Step 3: Cross multiply
    2,976.72x = 4,106.77 × 1,797.36
  4. Step 4: Simplify right side
    2,976.72x = 7,381,344.13
  5. Step 5: Solve for x
    x = 7,381,344.13/2,976.72
  6. Step 6: Final answer
    x = 2,479.69

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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.