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Finding the Fourth Proportional to 2,889.68, 4,335.12 and 941.63

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Solution

The fourth proportional to 2,889.68, 4,335.12 and 941.63 is: 1,412.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.68 : 4,335.12 = 941.63 : x
  2. Step 2: Convert to fraction form
    2,889.68/4,335.12 = 941.63/x
  3. Step 3: Cross multiply
    2,889.68x = 4,335.12 × 941.63
  4. Step 4: Simplify right side
    2,889.68x = 4,082,057.37
  5. Step 5: Solve for x
    x = 4,082,057.37/2,889.68
  6. Step 6: Final answer
    x = 1,412.64

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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.