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Finding the Fourth Proportional to 3,161.60, 4,742.52 and 1,212.68

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Solution

The fourth proportional to 3,161.60, 4,742.52 and 1,212.68 is: 1,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.60 : 4,742.52 = 1,212.68 : x
  2. Step 2: Convert to fraction form
    3,161.60/4,742.52 = 1,212.68/x
  3. Step 3: Cross multiply
    3,161.60x = 4,742.52 × 1,212.68
  4. Step 4: Simplify right side
    3,161.60x = 5,751,159.15
  5. Step 5: Solve for x
    x = 5,751,159.15/3,161.60
  6. Step 6: Final answer
    x = 1,819.07

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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.