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Finding the Fourth Proportional to 3,091.96, 4,636.05 and 1,449.01

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Solution

The fourth proportional to 3,091.96, 4,636.05 and 1,449.01 is: 2,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.96 : 4,636.05 = 1,449.01 : x
  2. Step 2: Convert to fraction form
    3,091.96/4,636.05 = 1,449.01/x
  3. Step 3: Cross multiply
    3,091.96x = 4,636.05 × 1,449.01
  4. Step 4: Simplify right side
    3,091.96x = 6,717,682.81
  5. Step 5: Solve for x
    x = 6,717,682.81/3,091.96
  6. Step 6: Final answer
    x = 2,172.63

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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.