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Finding the Fourth Proportional to 3,160.44, 4,741.35 and 1,212.66

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Solution

The fourth proportional to 3,160.44, 4,741.35 and 1,212.66 is: 1,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.44 : 4,741.35 = 1,212.66 : x
  2. Step 2: Convert to fraction form
    3,160.44/4,741.35 = 1,212.66/x
  3. Step 3: Cross multiply
    3,160.44x = 4,741.35 × 1,212.66
  4. Step 4: Simplify right side
    3,160.44x = 5,749,645.49
  5. Step 5: Solve for x
    x = 5,749,645.49/3,160.44
  6. Step 6: Final answer
    x = 1,819.25

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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.