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Finding the Fourth Proportional to 2,889.80, 4,334.26 and 942

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Solution

The fourth proportional to 2,889.80, 4,334.26 and 942 is: 1,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.80 : 4,334.26 = 942 : x
  2. Step 2: Convert to fraction form
    2,889.80/4,334.26 = 942/x
  3. Step 3: Cross multiply
    2,889.80x = 4,334.26 × 942
  4. Step 4: Simplify right side
    2,889.80x = 4,082,872.92
  5. Step 5: Solve for x
    x = 4,082,872.92/2,889.80
  6. Step 6: Final answer
    x = 1,412.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.