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Finding the Fourth Proportional to 2,939.27, 4,403.23 and 1,829.14

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Solution

The fourth proportional to 2,939.27, 4,403.23 and 1,829.14 is: 2,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.27 : 4,403.23 = 1,829.14 : x
  2. Step 2: Convert to fraction form
    2,939.27/4,403.23 = 1,829.14/x
  3. Step 3: Cross multiply
    2,939.27x = 4,403.23 × 1,829.14
  4. Step 4: Simplify right side
    2,939.27x = 8,054,108.54
  5. Step 5: Solve for x
    x = 8,054,108.54/2,939.27
  6. Step 6: Final answer
    x = 2,740.17

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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.