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Finding the Fourth Proportional to 1,821.45, 2,728.32 and 1,029.90

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Solution

The fourth proportional to 1,821.45, 2,728.32 and 1,029.90 is: 1,542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.45 : 2,728.32 = 1,029.90 : x
  2. Step 2: Convert to fraction form
    1,821.45/2,728.32 = 1,029.90/x
  3. Step 3: Cross multiply
    1,821.45x = 2,728.32 × 1,029.90
  4. Step 4: Simplify right side
    1,821.45x = 2,809,896.77
  5. Step 5: Solve for x
    x = 2,809,896.77/1,821.45
  6. Step 6: Final answer
    x = 1,542.67

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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.