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Finding the Fourth Proportional to 1,928.21, 2,891.79 and 541.46

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Solution

The fourth proportional to 1,928.21, 2,891.79 and 541.46 is: 812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.21 : 2,891.79 = 541.46 : x
  2. Step 2: Convert to fraction form
    1,928.21/2,891.79 = 541.46/x
  3. Step 3: Cross multiply
    1,928.21x = 2,891.79 × 541.46
  4. Step 4: Simplify right side
    1,928.21x = 1,565,788.61
  5. Step 5: Solve for x
    x = 1,565,788.61/1,928.21
  6. Step 6: Final answer
    x = 812.04

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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.