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Finding the Fourth Proportional to 1,654.22, 2,481.78 and 729.98

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Solution

The fourth proportional to 1,654.22, 2,481.78 and 729.98 is: 1,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.22 : 2,481.78 = 729.98 : x
  2. Step 2: Convert to fraction form
    1,654.22/2,481.78 = 729.98/x
  3. Step 3: Cross multiply
    1,654.22x = 2,481.78 × 729.98
  4. Step 4: Simplify right side
    1,654.22x = 1,811,649.76
  5. Step 5: Solve for x
    x = 1,811,649.76/1,654.22
  6. Step 6: Final answer
    x = 1,095.17

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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.