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Finding the Fourth Proportional to 2,889.67, 4,334.96 and 941.42

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Solution

The fourth proportional to 2,889.67, 4,334.96 and 941.42 is: 1,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.67 : 4,334.96 = 941.42 : x
  2. Step 2: Convert to fraction form
    2,889.67/4,334.96 = 941.42/x
  3. Step 3: Cross multiply
    2,889.67x = 4,334.96 × 941.42
  4. Step 4: Simplify right side
    2,889.67x = 4,081,013.34
  5. Step 5: Solve for x
    x = 4,081,013.34/2,889.67
  6. Step 6: Final answer
    x = 1,412.28

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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.