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Finding the Fourth Proportional to 1,641.06, 2,458.22 and 1,091.48

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Solution

The fourth proportional to 1,641.06, 2,458.22 and 1,091.48 is: 1,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.06 : 2,458.22 = 1,091.48 : x
  2. Step 2: Convert to fraction form
    1,641.06/2,458.22 = 1,091.48/x
  3. Step 3: Cross multiply
    1,641.06x = 2,458.22 × 1,091.48
  4. Step 4: Simplify right side
    1,641.06x = 2,683,080.22
  5. Step 5: Solve for x
    x = 2,683,080.22/1,641.06
  6. Step 6: Final answer
    x = 1,634.97

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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.