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Finding the Fourth Proportional to 1,796.48, 2,697.78 and 976.35

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Solution

The fourth proportional to 1,796.48, 2,697.78 and 976.35 is: 1,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.48 : 2,697.78 = 976.35 : x
  2. Step 2: Convert to fraction form
    1,796.48/2,697.78 = 976.35/x
  3. Step 3: Cross multiply
    1,796.48x = 2,697.78 × 976.35
  4. Step 4: Simplify right side
    1,796.48x = 2,633,991.28
  5. Step 5: Solve for x
    x = 2,633,991.28/1,796.48
  6. Step 6: Final answer
    x = 1,466.20

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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.