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Finding the Fourth Proportional to 2,096.49, 2,893.17 and 1,200.40

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Solution

The fourth proportional to 2,096.49, 2,893.17 and 1,200.40 is: 1,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.49 : 2,893.17 = 1,200.40 : x
  2. Step 2: Convert to fraction form
    2,096.49/2,893.17 = 1,200.40/x
  3. Step 3: Cross multiply
    2,096.49x = 2,893.17 × 1,200.40
  4. Step 4: Simplify right side
    2,096.49x = 3,472,961.27
  5. Step 5: Solve for x
    x = 3,472,961.27/2,096.49
  6. Step 6: Final answer
    x = 1,656.56

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