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Finding the Fourth Proportional to 3,176.31, 4,763.71 and 1,096.39

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Solution

The fourth proportional to 3,176.31, 4,763.71 and 1,096.39 is: 1,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.31 : 4,763.71 = 1,096.39 : x
  2. Step 2: Convert to fraction form
    3,176.31/4,763.71 = 1,096.39/x
  3. Step 3: Cross multiply
    3,176.31x = 4,763.71 × 1,096.39
  4. Step 4: Simplify right side
    3,176.31x = 5,222,864.54
  5. Step 5: Solve for x
    x = 5,222,864.54/3,176.31
  6. Step 6: Final answer
    x = 1,644.32

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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.