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Finding the Fourth Proportional to 3,172.88, 4,378.64 and 1,846.80

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Solution

The fourth proportional to 3,172.88, 4,378.64 and 1,846.80 is: 2,548.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.88 : 4,378.64 = 1,846.80 : x
  2. Step 2: Convert to fraction form
    3,172.88/4,378.64 = 1,846.80/x
  3. Step 3: Cross multiply
    3,172.88x = 4,378.64 × 1,846.80
  4. Step 4: Simplify right side
    3,172.88x = 8,086,472.35
  5. Step 5: Solve for x
    x = 8,086,472.35/3,172.88
  6. Step 6: Final answer
    x = 2,548.62

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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.