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Finding the Fourth Proportional to 2,091.20, 3,133.20 and 1,102.55

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Solution

The fourth proportional to 2,091.20, 3,133.20 and 1,102.55 is: 1,651.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.20 : 3,133.20 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    2,091.20/3,133.20 = 1,102.55/x
  3. Step 3: Cross multiply
    2,091.20x = 3,133.20 × 1,102.55
  4. Step 4: Simplify right side
    2,091.20x = 3,454,509.66
  5. Step 5: Solve for x
    x = 3,454,509.66/2,091.20
  6. Step 6: Final answer
    x = 1,651.93

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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.