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Finding the Fourth Proportional to 2,005.36, 2,764.86 and 1,296

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Solution

The fourth proportional to 2,005.36, 2,764.86 and 1,296 is: 1,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.36 : 2,764.86 = 1,296 : x
  2. Step 2: Convert to fraction form
    2,005.36/2,764.86 = 1,296/x
  3. Step 3: Cross multiply
    2,005.36x = 2,764.86 × 1,296
  4. Step 4: Simplify right side
    2,005.36x = 3,583,258.56
  5. Step 5: Solve for x
    x = 3,583,258.56/2,005.36
  6. Step 6: Final answer
    x = 1,786.85

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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.