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Finding the Fourth Proportional to 2,029.85, 3,042.38 and 917.97

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Solution

The fourth proportional to 2,029.85, 3,042.38 and 917.97 is: 1,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.85 : 3,042.38 = 917.97 : x
  2. Step 2: Convert to fraction form
    2,029.85/3,042.38 = 917.97/x
  3. Step 3: Cross multiply
    2,029.85x = 3,042.38 × 917.97
  4. Step 4: Simplify right side
    2,029.85x = 2,792,808.98
  5. Step 5: Solve for x
    x = 2,792,808.98/2,029.85
  6. Step 6: Final answer
    x = 1,375.87

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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.