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Finding the Fourth Proportional to 2,096.01, 2,892.93 and 1,211.70

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Solution

The fourth proportional to 2,096.01, 2,892.93 and 1,211.70 is: 1,672.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.01 : 2,892.93 = 1,211.70 : x
  2. Step 2: Convert to fraction form
    2,096.01/2,892.93 = 1,211.70/x
  3. Step 3: Cross multiply
    2,096.01x = 2,892.93 × 1,211.70
  4. Step 4: Simplify right side
    2,096.01x = 3,505,363.28
  5. Step 5: Solve for x
    x = 3,505,363.28/2,096.01
  6. Step 6: Final answer
    x = 1,672.40

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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.