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Finding the Fourth Proportional to 2,011.05, 2,775.22 and 1,114.85

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Solution

The fourth proportional to 2,011.05, 2,775.22 and 1,114.85 is: 1,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.05 : 2,775.22 = 1,114.85 : x
  2. Step 2: Convert to fraction form
    2,011.05/2,775.22 = 1,114.85/x
  3. Step 3: Cross multiply
    2,011.05x = 2,775.22 × 1,114.85
  4. Step 4: Simplify right side
    2,011.05x = 3,093,958.17
  5. Step 5: Solve for x
    x = 3,093,958.17/2,011.05
  6. Step 6: Final answer
    x = 1,538.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.