Home / 2,096.12-2,892.32-1,199.70

Finding the Fourth Proportional to 2,096.12, 2,892.32 and 1,199.70

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Solution

The fourth proportional to 2,096.12, 2,892.32 and 1,199.70 is: 1,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.12 : 2,892.32 = 1,199.70 : x
  2. Step 2: Convert to fraction form
    2,096.12/2,892.32 = 1,199.70/x
  3. Step 3: Cross multiply
    2,096.12x = 2,892.32 × 1,199.70
  4. Step 4: Simplify right side
    2,096.12x = 3,469,916.30
  5. Step 5: Solve for x
    x = 3,469,916.30/2,096.12
  6. Step 6: Final answer
    x = 1,655.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.