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Finding the Fourth Proportional to 1,927.23, 2,891.34 and 540.57

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Solution

The fourth proportional to 1,927.23, 2,891.34 and 540.57 is: 810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.23 : 2,891.34 = 540.57 : x
  2. Step 2: Convert to fraction form
    1,927.23/2,891.34 = 540.57/x
  3. Step 3: Cross multiply
    1,927.23x = 2,891.34 × 540.57
  4. Step 4: Simplify right side
    1,927.23x = 1,562,971.66
  5. Step 5: Solve for x
    x = 1,562,971.66/1,927.23
  6. Step 6: Final answer
    x = 810.99

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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.