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Finding the Fourth Proportional to 1,091.20, 1,634.40 and 969.60

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Solution

The fourth proportional to 1,091.20, 1,634.40 and 969.60 is: 1,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.20 : 1,634.40 = 969.60 : x
  2. Step 2: Convert to fraction form
    1,091.20/1,634.40 = 969.60/x
  3. Step 3: Cross multiply
    1,091.20x = 1,634.40 × 969.60
  4. Step 4: Simplify right side
    1,091.20x = 1,584,714.24
  5. Step 5: Solve for x
    x = 1,584,714.24/1,091.20
  6. Step 6: Final answer
    x = 1,452.27

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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.