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Finding the Fourth Proportional to 1,796.85, 2,698.35 and 976.73

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Solution

The fourth proportional to 1,796.85, 2,698.35 and 976.73 is: 1,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.85 : 2,698.35 = 976.73 : x
  2. Step 2: Convert to fraction form
    1,796.85/2,698.35 = 976.73/x
  3. Step 3: Cross multiply
    1,796.85x = 2,698.35 × 976.73
  4. Step 4: Simplify right side
    1,796.85x = 2,635,552.36
  5. Step 5: Solve for x
    x = 2,635,552.36/1,796.85
  6. Step 6: Final answer
    x = 1,466.76

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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.