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Finding the Fourth Proportional to 2,096.83, 3,145.65 and 1,000.45

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Solution

The fourth proportional to 2,096.83, 3,145.65 and 1,000.45 is: 1,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.83 : 3,145.65 = 1,000.45 : x
  2. Step 2: Convert to fraction form
    2,096.83/3,145.65 = 1,000.45/x
  3. Step 3: Cross multiply
    2,096.83x = 3,145.65 × 1,000.45
  4. Step 4: Simplify right side
    2,096.83x = 3,147,065.54
  5. Step 5: Solve for x
    x = 3,147,065.54/2,096.83
  6. Step 6: Final answer
    x = 1,500.87

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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.