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Finding the Fourth Proportional to 2,678.92, 4,016.89 and 829.51

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Solution

The fourth proportional to 2,678.92, 4,016.89 and 829.51 is: 1,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.92 : 4,016.89 = 829.51 : x
  2. Step 2: Convert to fraction form
    2,678.92/4,016.89 = 829.51/x
  3. Step 3: Cross multiply
    2,678.92x = 4,016.89 × 829.51
  4. Step 4: Simplify right side
    2,678.92x = 3,332,050.42
  5. Step 5: Solve for x
    x = 3,332,050.42/2,678.92
  6. Step 6: Final answer
    x = 1,243.80

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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.