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Finding the Fourth Proportional to 2,464.94, 3,698.60 and 1,232.53

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Solution

The fourth proportional to 2,464.94, 3,698.60 and 1,232.53 is: 1,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.94 : 3,698.60 = 1,232.53 : x
  2. Step 2: Convert to fraction form
    2,464.94/3,698.60 = 1,232.53/x
  3. Step 3: Cross multiply
    2,464.94x = 3,698.60 × 1,232.53
  4. Step 4: Simplify right side
    2,464.94x = 4,558,620.05
  5. Step 5: Solve for x
    x = 4,558,620.05/2,464.94
  6. Step 6: Final answer
    x = 1,849.38

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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.