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Finding the Fourth Proportional to 2,096.02, 3,142.51 and 863.00

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Solution

The fourth proportional to 2,096.02, 3,142.51 and 863.00 is: 1,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.02 : 3,142.51 = 863.00 : x
  2. Step 2: Convert to fraction form
    2,096.02/3,142.51 = 863.00/x
  3. Step 3: Cross multiply
    2,096.02x = 3,142.51 × 863.00
  4. Step 4: Simplify right side
    2,096.02x = 2,711,968.26
  5. Step 5: Solve for x
    x = 2,711,968.26/2,096.02
  6. Step 6: Final answer
    x = 1,293.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.