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Finding the Fourth Proportional to 2,678.27, 4,017.33 and 829.31

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Solution

The fourth proportional to 2,678.27, 4,017.33 and 829.31 is: 1,243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.27 : 4,017.33 = 829.31 : x
  2. Step 2: Convert to fraction form
    2,678.27/4,017.33 = 829.31/x
  3. Step 3: Cross multiply
    2,678.27x = 4,017.33 × 829.31
  4. Step 4: Simplify right side
    2,678.27x = 3,331,591.86
  5. Step 5: Solve for x
    x = 3,331,591.86/2,678.27
  6. Step 6: Final answer
    x = 1,243.94

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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.