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Finding the Fourth Proportional to 1,267.67, 1,736.68 and 1,220.29

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Solution

The fourth proportional to 1,267.67, 1,736.68 and 1,220.29 is: 1,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.67 : 1,736.68 = 1,220.29 : x
  2. Step 2: Convert to fraction form
    1,267.67/1,736.68 = 1,220.29/x
  3. Step 3: Cross multiply
    1,267.67x = 1,736.68 × 1,220.29
  4. Step 4: Simplify right side
    1,267.67x = 2,119,256.93
  5. Step 5: Solve for x
    x = 2,119,256.93/1,267.67
  6. Step 6: Final answer
    x = 1,671.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.