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Finding the Fourth Proportional to 1,628.27, 2,443.61 and 935.27

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Solution

The fourth proportional to 1,628.27, 2,443.61 and 935.27 is: 1,403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.27 : 2,443.61 = 935.27 : x
  2. Step 2: Convert to fraction form
    1,628.27/2,443.61 = 935.27/x
  3. Step 3: Cross multiply
    1,628.27x = 2,443.61 × 935.27
  4. Step 4: Simplify right side
    1,628.27x = 2,285,435.12
  5. Step 5: Solve for x
    x = 2,285,435.12/1,628.27
  6. Step 6: Final answer
    x = 1,403.60

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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.