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Finding the Fourth Proportional to 1,654.58, 2,481.94 and 422.03

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Solution

The fourth proportional to 1,654.58, 2,481.94 and 422.03 is: 633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.58 : 2,481.94 = 422.03 : x
  2. Step 2: Convert to fraction form
    1,654.58/2,481.94 = 422.03/x
  3. Step 3: Cross multiply
    1,654.58x = 2,481.94 × 422.03
  4. Step 4: Simplify right side
    1,654.58x = 1,047,459.87
  5. Step 5: Solve for x
    x = 1,047,459.87/1,654.58
  6. Step 6: Final answer
    x = 633.07

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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.