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Finding the Fourth Proportional to 1,267.14, 1,902.87 and 1,106.22

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Solution

The fourth proportional to 1,267.14, 1,902.87 and 1,106.22 is: 1,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.14 : 1,902.87 = 1,106.22 : x
  2. Step 2: Convert to fraction form
    1,267.14/1,902.87 = 1,106.22/x
  3. Step 3: Cross multiply
    1,267.14x = 1,902.87 × 1,106.22
  4. Step 4: Simplify right side
    1,267.14x = 2,104,992.85
  5. Step 5: Solve for x
    x = 2,104,992.85/1,267.14
  6. Step 6: Final answer
    x = 1,661.22

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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.