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Finding the Fourth Proportional to 2,968.50, 4,096.49 and 2,119.32

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Solution

The fourth proportional to 2,968.50, 4,096.49 and 2,119.32 is: 2,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.50 : 4,096.49 = 2,119.32 : x
  2. Step 2: Convert to fraction form
    2,968.50/4,096.49 = 2,119.32/x
  3. Step 3: Cross multiply
    2,968.50x = 4,096.49 × 2,119.32
  4. Step 4: Simplify right side
    2,968.50x = 8,681,762.59
  5. Step 5: Solve for x
    x = 8,681,762.59/2,968.50
  6. Step 6: Final answer
    x = 2,924.63

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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.