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Finding the Fourth Proportional to 2,028.66, 3,042.63 and 729.96

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Solution

The fourth proportional to 2,028.66, 3,042.63 and 729.96 is: 1,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.66 : 3,042.63 = 729.96 : x
  2. Step 2: Convert to fraction form
    2,028.66/3,042.63 = 729.96/x
  3. Step 3: Cross multiply
    2,028.66x = 3,042.63 × 729.96
  4. Step 4: Simplify right side
    2,028.66x = 2,220,998.19
  5. Step 5: Solve for x
    x = 2,220,998.19/2,028.66
  6. Step 6: Final answer
    x = 1,094.81

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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.