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Finding the Fourth Proportional to 2,889.65, 4,334.47 and 941.85

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Solution

The fourth proportional to 2,889.65, 4,334.47 and 941.85 is: 1,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.65 : 4,334.47 = 941.85 : x
  2. Step 2: Convert to fraction form
    2,889.65/4,334.47 = 941.85/x
  3. Step 3: Cross multiply
    2,889.65x = 4,334.47 × 941.85
  4. Step 4: Simplify right side
    2,889.65x = 4,082,420.57
  5. Step 5: Solve for x
    x = 4,082,420.57/2,889.65
  6. Step 6: Final answer
    x = 1,412.77

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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.