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Finding the Fourth Proportional to 2,968.29, 4,096.05 and 2,305.71

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Solution

The fourth proportional to 2,968.29, 4,096.05 and 2,305.71 is: 3,181.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.29 : 4,096.05 = 2,305.71 : x
  2. Step 2: Convert to fraction form
    2,968.29/4,096.05 = 2,305.71/x
  3. Step 3: Cross multiply
    2,968.29x = 4,096.05 × 2,305.71
  4. Step 4: Simplify right side
    2,968.29x = 9,444,303.45
  5. Step 5: Solve for x
    x = 9,444,303.45/2,968.29
  6. Step 6: Final answer
    x = 3,181.73

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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.