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Finding the Fourth Proportional to 1,419.33, 1,960.56 and 1,091.82

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Solution

The fourth proportional to 1,419.33, 1,960.56 and 1,091.82 is: 1,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.33 : 1,960.56 = 1,091.82 : x
  2. Step 2: Convert to fraction form
    1,419.33/1,960.56 = 1,091.82/x
  3. Step 3: Cross multiply
    1,419.33x = 1,960.56 × 1,091.82
  4. Step 4: Simplify right side
    1,419.33x = 2,140,578.62
  5. Step 5: Solve for x
    x = 2,140,578.62/1,419.33
  6. Step 6: Final answer
    x = 1,508.16

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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.