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Finding the Fourth Proportional to 2,821.44, 4,235.52 and 1,668

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Solution

The fourth proportional to 2,821.44, 4,235.52 and 1,668 is: 2,503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.44 : 4,235.52 = 1,668 : x
  2. Step 2: Convert to fraction form
    2,821.44/4,235.52 = 1,668/x
  3. Step 3: Cross multiply
    2,821.44x = 4,235.52 × 1,668
  4. Step 4: Simplify right side
    2,821.44x = 7,064,847.36
  5. Step 5: Solve for x
    x = 7,064,847.36/2,821.44
  6. Step 6: Final answer
    x = 2,503.99

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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.