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Finding the Fourth Proportional to 2,846.46, 3,928.50 and 1,668

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Solution

The fourth proportional to 2,846.46, 3,928.50 and 1,668 is: 2,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.46 : 3,928.50 = 1,668 : x
  2. Step 2: Convert to fraction form
    2,846.46/3,928.50 = 1,668/x
  3. Step 3: Cross multiply
    2,846.46x = 3,928.50 × 1,668
  4. Step 4: Simplify right side
    2,846.46x = 6,552,738
  5. Step 5: Solve for x
    x = 6,552,738/2,846.46
  6. Step 6: Final answer
    x = 2,302.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.