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Finding the Fourth Proportional to 2,776.11, 4,164.44 and 927.23

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Solution

The fourth proportional to 2,776.11, 4,164.44 and 927.23 is: 1,390.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.11 : 4,164.44 = 927.23 : x
  2. Step 2: Convert to fraction form
    2,776.11/4,164.44 = 927.23/x
  3. Step 3: Cross multiply
    2,776.11x = 4,164.44 × 927.23
  4. Step 4: Simplify right side
    2,776.11x = 3,861,368.24
  5. Step 5: Solve for x
    x = 3,861,368.24/2,776.11
  6. Step 6: Final answer
    x = 1,390.93

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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.