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Finding the Fourth Proportional to 1,914.75, 2,869.34 and 941.54

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Solution

The fourth proportional to 1,914.75, 2,869.34 and 941.54 is: 1,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.75 : 2,869.34 = 941.54 : x
  2. Step 2: Convert to fraction form
    1,914.75/2,869.34 = 941.54/x
  3. Step 3: Cross multiply
    1,914.75x = 2,869.34 × 941.54
  4. Step 4: Simplify right side
    1,914.75x = 2,701,579.33
  5. Step 5: Solve for x
    x = 2,701,579.33/1,914.75
  6. Step 6: Final answer
    x = 1,410.93

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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.