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Finding the Fourth Proportional to 1,629.08, 2,443.63 and 654.96

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Solution

The fourth proportional to 1,629.08, 2,443.63 and 654.96 is: 982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.08 : 2,443.63 = 654.96 : x
  2. Step 2: Convert to fraction form
    1,629.08/2,443.63 = 654.96/x
  3. Step 3: Cross multiply
    1,629.08x = 2,443.63 × 654.96
  4. Step 4: Simplify right side
    1,629.08x = 1,600,470.52
  5. Step 5: Solve for x
    x = 1,600,470.52/1,629.08
  6. Step 6: Final answer
    x = 982.44

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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.