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Finding the Fourth Proportional to 2,912.46, 4,018.46 and 1,968.74

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Solution

The fourth proportional to 2,912.46, 4,018.46 and 1,968.74 is: 2,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.46 : 4,018.46 = 1,968.74 : x
  2. Step 2: Convert to fraction form
    2,912.46/4,018.46 = 1,968.74/x
  3. Step 3: Cross multiply
    2,912.46x = 4,018.46 × 1,968.74
  4. Step 4: Simplify right side
    2,912.46x = 7,911,302.94
  5. Step 5: Solve for x
    x = 7,911,302.94/2,912.46
  6. Step 6: Final answer
    x = 2,716.36

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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.