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Finding the Fourth Proportional to 1,828.83, 2,523.79 and 989.54

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Solution

The fourth proportional to 1,828.83, 2,523.79 and 989.54 is: 1,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.83 : 2,523.79 = 989.54 : x
  2. Step 2: Convert to fraction form
    1,828.83/2,523.79 = 989.54/x
  3. Step 3: Cross multiply
    1,828.83x = 2,523.79 × 989.54
  4. Step 4: Simplify right side
    1,828.83x = 2,497,389.24
  5. Step 5: Solve for x
    x = 2,497,389.24/1,828.83
  6. Step 6: Final answer
    x = 1,365.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.