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Finding the Fourth Proportional to 1,828.60, 2,523.46 and 989.30

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Solution

The fourth proportional to 1,828.60, 2,523.46 and 989.30 is: 1,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.60 : 2,523.46 = 989.30 : x
  2. Step 2: Convert to fraction form
    1,828.60/2,523.46 = 989.30/x
  3. Step 3: Cross multiply
    1,828.60x = 2,523.46 × 989.30
  4. Step 4: Simplify right side
    1,828.60x = 2,496,453.22
  5. Step 5: Solve for x
    x = 2,496,453.22/1,828.60
  6. Step 6: Final answer
    x = 1,365.23

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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.