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Finding the Fourth Proportional to 2,903.28, 4,355.23 and 928.22

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Solution

The fourth proportional to 2,903.28, 4,355.23 and 928.22 is: 1,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.28 : 4,355.23 = 928.22 : x
  2. Step 2: Convert to fraction form
    2,903.28/4,355.23 = 928.22/x
  3. Step 3: Cross multiply
    2,903.28x = 4,355.23 × 928.22
  4. Step 4: Simplify right side
    2,903.28x = 4,042,611.59
  5. Step 5: Solve for x
    x = 4,042,611.59/2,903.28
  6. Step 6: Final answer
    x = 1,392.43

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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.