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Finding the Fourth Proportional to 3,180.42, 4,768.16 and 1,447.82

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Solution

The fourth proportional to 3,180.42, 4,768.16 and 1,447.82 is: 2,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,180.42 : 4,768.16 = 1,447.82 : x
  2. Step 2: Convert to fraction form
    3,180.42/4,768.16 = 1,447.82/x
  3. Step 3: Cross multiply
    3,180.42x = 4,768.16 × 1,447.82
  4. Step 4: Simplify right side
    3,180.42x = 6,903,437.41
  5. Step 5: Solve for x
    x = 6,903,437.41/3,180.42
  6. Step 6: Final answer
    x = 2,170.61

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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.