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Finding the Fourth Proportional to 3,155.25, 4,732.93 and 815.27

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Solution

The fourth proportional to 3,155.25, 4,732.93 and 815.27 is: 1,222.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.25 : 4,732.93 = 815.27 : x
  2. Step 2: Convert to fraction form
    3,155.25/4,732.93 = 815.27/x
  3. Step 3: Cross multiply
    3,155.25x = 4,732.93 × 815.27
  4. Step 4: Simplify right side
    3,155.25x = 3,858,633.13
  5. Step 5: Solve for x
    x = 3,858,633.13/3,155.25
  6. Step 6: Final answer
    x = 1,222.92

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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.