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Finding the Fourth Proportional to 3,119.08, 4,677.80 and 927.30

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Solution

The fourth proportional to 3,119.08, 4,677.80 and 927.30 is: 1,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.08 : 4,677.80 = 927.30 : x
  2. Step 2: Convert to fraction form
    3,119.08/4,677.80 = 927.30/x
  3. Step 3: Cross multiply
    3,119.08x = 4,677.80 × 927.30
  4. Step 4: Simplify right side
    3,119.08x = 4,337,723.94
  5. Step 5: Solve for x
    x = 4,337,723.94/3,119.08
  6. Step 6: Final answer
    x = 1,390.71

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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.