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Finding the Fourth Proportional to 2,968.96, 4,094.76 and 2,444.08

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Solution

The fourth proportional to 2,968.96, 4,094.76 and 2,444.08 is: 3,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.96 : 4,094.76 = 2,444.08 : x
  2. Step 2: Convert to fraction form
    2,968.96/4,094.76 = 2,444.08/x
  3. Step 3: Cross multiply
    2,968.96x = 4,094.76 × 2,444.08
  4. Step 4: Simplify right side
    2,968.96x = 10,007,921.02
  5. Step 5: Solve for x
    x = 10,007,921.02/2,968.96
  6. Step 6: Final answer
    x = 3,370.85

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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.