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Finding the Fourth Proportional to 1,940.84, 2,911.72 and 1,397.12

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Solution

The fourth proportional to 1,940.84, 2,911.72 and 1,397.12 is: 2,096.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.84 : 2,911.72 = 1,397.12 : x
  2. Step 2: Convert to fraction form
    1,940.84/2,911.72 = 1,397.12/x
  3. Step 3: Cross multiply
    1,940.84x = 2,911.72 × 1,397.12
  4. Step 4: Simplify right side
    1,940.84x = 4,068,022.25
  5. Step 5: Solve for x
    x = 4,068,022.25/1,940.84
  6. Step 6: Final answer
    x = 2,096.01

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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.