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Finding the Fourth Proportional to 2,614.96, 3,923.34 and 1,317.34

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Solution

The fourth proportional to 2,614.96, 3,923.34 and 1,317.34 is: 1,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.96 : 3,923.34 = 1,317.34 : x
  2. Step 2: Convert to fraction form
    2,614.96/3,923.34 = 1,317.34/x
  3. Step 3: Cross multiply
    2,614.96x = 3,923.34 × 1,317.34
  4. Step 4: Simplify right side
    2,614.96x = 5,168,372.72
  5. Step 5: Solve for x
    x = 5,168,372.72/2,614.96
  6. Step 6: Final answer
    x = 1,976.46

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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.