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Finding the Fourth Proportional to 1,927.56, 2,891.28 and 540.90

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Solution

The fourth proportional to 1,927.56, 2,891.28 and 540.90 is: 811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.56 : 2,891.28 = 540.90 : x
  2. Step 2: Convert to fraction form
    1,927.56/2,891.28 = 540.90/x
  3. Step 3: Cross multiply
    1,927.56x = 2,891.28 × 540.90
  4. Step 4: Simplify right side
    1,927.56x = 1,563,893.35
  5. Step 5: Solve for x
    x = 1,563,893.35/1,927.56
  6. Step 6: Final answer
    x = 811.33

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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.