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Finding the Fourth Proportional to 3,119.09, 4,678.57 and 927.83

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Solution

The fourth proportional to 3,119.09, 4,678.57 and 927.83 is: 1,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.09 : 4,678.57 = 927.83 : x
  2. Step 2: Convert to fraction form
    3,119.09/4,678.57 = 927.83/x
  3. Step 3: Cross multiply
    3,119.09x = 4,678.57 × 927.83
  4. Step 4: Simplify right side
    3,119.09x = 4,340,926.98
  5. Step 5: Solve for x
    x = 4,340,926.98/3,119.09
  6. Step 6: Final answer
    x = 1,391.73

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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.