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Finding the Fourth Proportional to 1,927.25, 2,890.98 and 540.54

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Solution

The fourth proportional to 1,927.25, 2,890.98 and 540.54 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.25 : 2,890.98 = 540.54 : x
  2. Step 2: Convert to fraction form
    1,927.25/2,890.98 = 540.54/x
  3. Step 3: Cross multiply
    1,927.25x = 2,890.98 × 540.54
  4. Step 4: Simplify right side
    1,927.25x = 1,562,690.33
  5. Step 5: Solve for x
    x = 1,562,690.33/1,927.25
  6. Step 6: Final answer
    x = 810.84

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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.