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Finding the Fourth Proportional to 3,232.98, 4,846.14 and 1,384.56

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Solution

The fourth proportional to 3,232.98, 4,846.14 and 1,384.56 is: 2,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.98 : 4,846.14 = 1,384.56 : x
  2. Step 2: Convert to fraction form
    3,232.98/4,846.14 = 1,384.56/x
  3. Step 3: Cross multiply
    3,232.98x = 4,846.14 × 1,384.56
  4. Step 4: Simplify right side
    3,232.98x = 6,709,771.60
  5. Step 5: Solve for x
    x = 6,709,771.60/3,232.98
  6. Step 6: Final answer
    x = 2,075.41

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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.