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Finding the Fourth Proportional to 2,072.71, 3,110.14 and 918.19

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Solution

The fourth proportional to 2,072.71, 3,110.14 and 918.19 is: 1,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.71 : 3,110.14 = 918.19 : x
  2. Step 2: Convert to fraction form
    2,072.71/3,110.14 = 918.19/x
  3. Step 3: Cross multiply
    2,072.71x = 3,110.14 × 918.19
  4. Step 4: Simplify right side
    2,072.71x = 2,855,692.82
  5. Step 5: Solve for x
    x = 2,855,692.82/2,072.71
  6. Step 6: Final answer
    x = 1,377.76

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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.