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Finding the Fourth Proportional to 2,174.96, 3,259.94 and 941.13

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Solution

The fourth proportional to 2,174.96, 3,259.94 and 941.13 is: 1,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.96 : 3,259.94 = 941.13 : x
  2. Step 2: Convert to fraction form
    2,174.96/3,259.94 = 941.13/x
  3. Step 3: Cross multiply
    2,174.96x = 3,259.94 × 941.13
  4. Step 4: Simplify right side
    2,174.96x = 3,068,027.33
  5. Step 5: Solve for x
    x = 3,068,027.33/2,174.96
  6. Step 6: Final answer
    x = 1,410.61

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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.