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Finding the Fourth Proportional to 2,154.03, 3,231.09 and 922.02

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Solution

The fourth proportional to 2,154.03, 3,231.09 and 922.02 is: 1,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.03 : 3,231.09 = 922.02 : x
  2. Step 2: Convert to fraction form
    2,154.03/3,231.09 = 922.02/x
  3. Step 3: Cross multiply
    2,154.03x = 3,231.09 × 922.02
  4. Step 4: Simplify right side
    2,154.03x = 2,979,129.60
  5. Step 5: Solve for x
    x = 2,979,129.60/2,154.03
  6. Step 6: Final answer
    x = 1,383.05

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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.