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Finding the Fourth Proportional to 2,659.36, 3,989.04 and 927.98

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Solution

The fourth proportional to 2,659.36, 3,989.04 and 927.98 is: 1,391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.36 : 3,989.04 = 927.98 : x
  2. Step 2: Convert to fraction form
    2,659.36/3,989.04 = 927.98/x
  3. Step 3: Cross multiply
    2,659.36x = 3,989.04 × 927.98
  4. Step 4: Simplify right side
    2,659.36x = 3,701,749.34
  5. Step 5: Solve for x
    x = 3,701,749.34/2,659.36
  6. Step 6: Final answer
    x = 1,391.97

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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.