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Finding the Fourth Proportional to 2,096.97, 2,892.81 and 1,388.64

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Solution

The fourth proportional to 2,096.97, 2,892.81 and 1,388.64 is: 1,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.97 : 2,892.81 = 1,388.64 : x
  2. Step 2: Convert to fraction form
    2,096.97/2,892.81 = 1,388.64/x
  3. Step 3: Cross multiply
    2,096.97x = 2,892.81 × 1,388.64
  4. Step 4: Simplify right side
    2,096.97x = 4,017,071.68
  5. Step 5: Solve for x
    x = 4,017,071.68/2,096.97
  6. Step 6: Final answer
    x = 1,915.66

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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.