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Finding the Fourth Proportional to 2,096.00, 3,142.37 and 1,000.88

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Solution

The fourth proportional to 2,096.00, 3,142.37 and 1,000.88 is: 1,500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.00 : 3,142.37 = 1,000.88 : x
  2. Step 2: Convert to fraction form
    2,096.00/3,142.37 = 1,000.88/x
  3. Step 3: Cross multiply
    2,096.00x = 3,142.37 × 1,000.88
  4. Step 4: Simplify right side
    2,096.00x = 3,145,114.57
  5. Step 5: Solve for x
    x = 3,145,114.57/2,096.00
  6. Step 6: Final answer
    x = 1,500.54

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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.