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Finding the Fourth Proportional to 1,643.14, 2,464.73 and 668.55

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Solution

The fourth proportional to 1,643.14, 2,464.73 and 668.55 is: 1,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.14 : 2,464.73 = 668.55 : x
  2. Step 2: Convert to fraction form
    1,643.14/2,464.73 = 668.55/x
  3. Step 3: Cross multiply
    1,643.14x = 2,464.73 × 668.55
  4. Step 4: Simplify right side
    1,643.14x = 1,647,803.65
  5. Step 5: Solve for x
    x = 1,647,803.65/1,643.14
  6. Step 6: Final answer
    x = 1,002.84

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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.