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Finding the Fourth Proportional to 3,145.70, 4,343.82 and 1,968.78

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Solution

The fourth proportional to 3,145.70, 4,343.82 and 1,968.78 is: 2,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.70 : 4,343.82 = 1,968.78 : x
  2. Step 2: Convert to fraction form
    3,145.70/4,343.82 = 1,968.78/x
  3. Step 3: Cross multiply
    3,145.70x = 4,343.82 × 1,968.78
  4. Step 4: Simplify right side
    3,145.70x = 8,552,025.94
  5. Step 5: Solve for x
    x = 8,552,025.94/3,145.70
  6. Step 6: Final answer
    x = 2,718.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.