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Finding the Fourth Proportional to 2,846.97, 4,271.72 and 999.41

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Solution

The fourth proportional to 2,846.97, 4,271.72 and 999.41 is: 1,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.97 : 4,271.72 = 999.41 : x
  2. Step 2: Convert to fraction form
    2,846.97/4,271.72 = 999.41/x
  3. Step 3: Cross multiply
    2,846.97x = 4,271.72 × 999.41
  4. Step 4: Simplify right side
    2,846.97x = 4,269,173.33
  5. Step 5: Solve for x
    x = 4,269,173.33/2,846.97
  6. Step 6: Final answer
    x = 1,499.55

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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.