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Finding the Fourth Proportional to 1,269.67, 1,902.40 and 1,221.68

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Solution

The fourth proportional to 1,269.67, 1,902.40 and 1,221.68 is: 1,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.67 : 1,902.40 = 1,221.68 : x
  2. Step 2: Convert to fraction form
    1,269.67/1,902.40 = 1,221.68/x
  3. Step 3: Cross multiply
    1,269.67x = 1,902.40 × 1,221.68
  4. Step 4: Simplify right side
    1,269.67x = 2,324,108.41
  5. Step 5: Solve for x
    x = 2,324,108.41/1,269.67
  6. Step 6: Final answer
    x = 1,830.48

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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.