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Finding the Fourth Proportional to 3,197.35, 4,795.08 and 1,441.34

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Solution

The fourth proportional to 3,197.35, 4,795.08 and 1,441.34 is: 2,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.35 : 4,795.08 = 1,441.34 : x
  2. Step 2: Convert to fraction form
    3,197.35/4,795.08 = 1,441.34/x
  3. Step 3: Cross multiply
    3,197.35x = 4,795.08 × 1,441.34
  4. Step 4: Simplify right side
    3,197.35x = 6,911,340.61
  5. Step 5: Solve for x
    x = 6,911,340.61/3,197.35
  6. Step 6: Final answer
    x = 2,161.58

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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.