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Finding the Fourth Proportional to 1,821.94, 2,733.27 and 589.27

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Solution

The fourth proportional to 1,821.94, 2,733.27 and 589.27 is: 884.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.94 : 2,733.27 = 589.27 : x
  2. Step 2: Convert to fraction form
    1,821.94/2,733.27 = 589.27/x
  3. Step 3: Cross multiply
    1,821.94x = 2,733.27 × 589.27
  4. Step 4: Simplify right side
    1,821.94x = 1,610,634.01
  5. Step 5: Solve for x
    x = 1,610,634.01/1,821.94
  6. Step 6: Final answer
    x = 884.02

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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.