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Finding the Fourth Proportional to 2,096.43, 3,143.15 and 985.22

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Solution

The fourth proportional to 2,096.43, 3,143.15 and 985.22 is: 1,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.43 : 3,143.15 = 985.22 : x
  2. Step 2: Convert to fraction form
    2,096.43/3,143.15 = 985.22/x
  3. Step 3: Cross multiply
    2,096.43x = 3,143.15 × 985.22
  4. Step 4: Simplify right side
    2,096.43x = 3,096,697.17
  5. Step 5: Solve for x
    x = 3,096,697.17/2,096.43
  6. Step 6: Final answer
    x = 1,477.13

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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.