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Finding the Fourth Proportional to 1,815.33, 2,722.63 and 889.97

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Solution

The fourth proportional to 1,815.33, 2,722.63 and 889.97 is: 1,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.33 : 2,722.63 = 889.97 : x
  2. Step 2: Convert to fraction form
    1,815.33/2,722.63 = 889.97/x
  3. Step 3: Cross multiply
    1,815.33x = 2,722.63 × 889.97
  4. Step 4: Simplify right side
    1,815.33x = 2,423,059.02
  5. Step 5: Solve for x
    x = 2,423,059.02/1,815.33
  6. Step 6: Final answer
    x = 1,334.78

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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.