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Finding the Fourth Proportional to 1,662.94, 2,494.83 and 492.98

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Solution

The fourth proportional to 1,662.94, 2,494.83 and 492.98 is: 739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.94 : 2,494.83 = 492.98 : x
  2. Step 2: Convert to fraction form
    1,662.94/2,494.83 = 492.98/x
  3. Step 3: Cross multiply
    1,662.94x = 2,494.83 × 492.98
  4. Step 4: Simplify right side
    1,662.94x = 1,229,907.53
  5. Step 5: Solve for x
    x = 1,229,907.53/1,662.94
  6. Step 6: Final answer
    x = 739.60

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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.