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Finding the Fourth Proportional to 1,654.06, 2,481.06 and 421.47

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Solution

The fourth proportional to 1,654.06, 2,481.06 and 421.47 is: 632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.06 : 2,481.06 = 421.47 : x
  2. Step 2: Convert to fraction form
    1,654.06/2,481.06 = 421.47/x
  3. Step 3: Cross multiply
    1,654.06x = 2,481.06 × 421.47
  4. Step 4: Simplify right side
    1,654.06x = 1,045,692.36
  5. Step 5: Solve for x
    x = 1,045,692.36/1,654.06
  6. Step 6: Final answer
    x = 632.20

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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.