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Finding the Fourth Proportional to 2,096.96, 3,145.43 and 536.96

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Solution

The fourth proportional to 2,096.96, 3,145.43 and 536.96 is: 805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.96 : 3,145.43 = 536.96 : x
  2. Step 2: Convert to fraction form
    2,096.96/3,145.43 = 536.96/x
  3. Step 3: Cross multiply
    2,096.96x = 3,145.43 × 536.96
  4. Step 4: Simplify right side
    2,096.96x = 1,688,979.30
  5. Step 5: Solve for x
    x = 1,688,979.30/2,096.96
  6. Step 6: Final answer
    x = 805.44

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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.