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Finding the Fourth Proportional to 1,928.46, 2,892.67 and 467.63

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Solution

The fourth proportional to 1,928.46, 2,892.67 and 467.63 is: 701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.46 : 2,892.67 = 467.63 : x
  2. Step 2: Convert to fraction form
    1,928.46/2,892.67 = 467.63/x
  3. Step 3: Cross multiply
    1,928.46x = 2,892.67 × 467.63
  4. Step 4: Simplify right side
    1,928.46x = 1,352,694.49
  5. Step 5: Solve for x
    x = 1,352,694.49/1,928.46
  6. Step 6: Final answer
    x = 701.44

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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.