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Finding the Fourth Proportional to 1,984.96, 2,978.39 and 889.64

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Solution

The fourth proportional to 1,984.96, 2,978.39 and 889.64 is: 1,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.96 : 2,978.39 = 889.64 : x
  2. Step 2: Convert to fraction form
    1,984.96/2,978.39 = 889.64/x
  3. Step 3: Cross multiply
    1,984.96x = 2,978.39 × 889.64
  4. Step 4: Simplify right side
    1,984.96x = 2,649,694.88
  5. Step 5: Solve for x
    x = 2,649,694.88/1,984.96
  6. Step 6: Final answer
    x = 1,334.89

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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.