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Finding the Fourth Proportional to 1,636.31, 2,257.43 and 927.96

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Solution

The fourth proportional to 1,636.31, 2,257.43 and 927.96 is: 1,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.31 : 2,257.43 = 927.96 : x
  2. Step 2: Convert to fraction form
    1,636.31/2,257.43 = 927.96/x
  3. Step 3: Cross multiply
    1,636.31x = 2,257.43 × 927.96
  4. Step 4: Simplify right side
    1,636.31x = 2,094,800.10
  5. Step 5: Solve for x
    x = 2,094,800.10/1,636.31
  6. Step 6: Final answer
    x = 1,280.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.