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Finding the Fourth Proportional to 3,232.98, 4,462.02 and 2,054.43

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Solution

The fourth proportional to 3,232.98, 4,462.02 and 2,054.43 is: 2,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.98 : 4,462.02 = 2,054.43 : x
  2. Step 2: Convert to fraction form
    3,232.98/4,462.02 = 2,054.43/x
  3. Step 3: Cross multiply
    3,232.98x = 4,462.02 × 2,054.43
  4. Step 4: Simplify right side
    3,232.98x = 9,166,907.75
  5. Step 5: Solve for x
    x = 9,166,907.75/3,232.98
  6. Step 6: Final answer
    x = 2,835.44

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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.