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Finding the Fourth Proportional to 1,927.25, 2,890.26 and 628.41

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Solution

The fourth proportional to 1,927.25, 2,890.26 and 628.41 is: 942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.25 : 2,890.26 = 628.41 : x
  2. Step 2: Convert to fraction form
    1,927.25/2,890.26 = 628.41/x
  3. Step 3: Cross multiply
    1,927.25x = 2,890.26 × 628.41
  4. Step 4: Simplify right side
    1,927.25x = 1,816,268.29
  5. Step 5: Solve for x
    x = 1,816,268.29/1,927.25
  6. Step 6: Final answer
    x = 942.42

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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.