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Finding the Fourth Proportional to 2,968.92, 4,101.98 and 2,496.96

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Solution

The fourth proportional to 2,968.92, 4,101.98 and 2,496.96 is: 3,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.92 : 4,101.98 = 2,496.96 : x
  2. Step 2: Convert to fraction form
    2,968.92/4,101.98 = 2,496.96/x
  3. Step 3: Cross multiply
    2,968.92x = 4,101.98 × 2,496.96
  4. Step 4: Simplify right side
    2,968.92x = 10,242,467.50
  5. Step 5: Solve for x
    x = 10,242,467.50/2,968.92
  6. Step 6: Final answer
    x = 3,449.90

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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.