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Finding the Fourth Proportional to 2,968.80, 4,100.40 and 2,796

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Solution

The fourth proportional to 2,968.80, 4,100.40 and 2,796 is: 3,861.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.80 : 4,100.40 = 2,796 : x
  2. Step 2: Convert to fraction form
    2,968.80/4,100.40 = 2,796/x
  3. Step 3: Cross multiply
    2,968.80x = 4,100.40 × 2,796
  4. Step 4: Simplify right side
    2,968.80x = 11,464,718.40
  5. Step 5: Solve for x
    x = 11,464,718.40/2,968.80
  6. Step 6: Final answer
    x = 3,861.73

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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.