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Finding the Fourth Proportional to 1,927.75, 2,891.14 and 540.73

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Solution

The fourth proportional to 1,927.75, 2,891.14 and 540.73 is: 810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.75 : 2,891.14 = 540.73 : x
  2. Step 2: Convert to fraction form
    1,927.75/2,891.14 = 540.73/x
  3. Step 3: Cross multiply
    1,927.75x = 2,891.14 × 540.73
  4. Step 4: Simplify right side
    1,927.75x = 1,563,326.13
  5. Step 5: Solve for x
    x = 1,563,326.13/1,927.75
  6. Step 6: Final answer
    x = 810.96

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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.