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Finding the Fourth Proportional to 1,100.16, 1,653.84 and 1,091.52

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Solution

The fourth proportional to 1,100.16, 1,653.84 and 1,091.52 is: 1,640.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.16 : 1,653.84 = 1,091.52 : x
  2. Step 2: Convert to fraction form
    1,100.16/1,653.84 = 1,091.52/x
  3. Step 3: Cross multiply
    1,100.16x = 1,653.84 × 1,091.52
  4. Step 4: Simplify right side
    1,100.16x = 1,805,199.44
  5. Step 5: Solve for x
    x = 1,805,199.44/1,100.16
  6. Step 6: Final answer
    x = 1,640.85

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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.