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Finding the Fourth Proportional to 1,930.05, 2,894.22 and 889.80

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Solution

The fourth proportional to 1,930.05, 2,894.22 and 889.80 is: 1,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.05 : 2,894.22 = 889.80 : x
  2. Step 2: Convert to fraction form
    1,930.05/2,894.22 = 889.80/x
  3. Step 3: Cross multiply
    1,930.05x = 2,894.22 × 889.80
  4. Step 4: Simplify right side
    1,930.05x = 2,575,276.96
  5. Step 5: Solve for x
    x = 2,575,276.96/1,930.05
  6. Step 6: Final answer
    x = 1,334.31

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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.