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Finding the Fourth Proportional to 2,028.17, 3,042.29 and 729.61

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Solution

The fourth proportional to 2,028.17, 3,042.29 and 729.61 is: 1,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.17 : 3,042.29 = 729.61 : x
  2. Step 2: Convert to fraction form
    2,028.17/3,042.29 = 729.61/x
  3. Step 3: Cross multiply
    2,028.17x = 3,042.29 × 729.61
  4. Step 4: Simplify right side
    2,028.17x = 2,219,679.43
  5. Step 5: Solve for x
    x = 2,219,679.43/2,028.17
  6. Step 6: Final answer
    x = 1,094.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.