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Finding the Fourth Proportional to 1,940.97, 2,681.67 and 1,354.13

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Solution

The fourth proportional to 1,940.97, 2,681.67 and 1,354.13 is: 1,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.97 : 2,681.67 = 1,354.13 : x
  2. Step 2: Convert to fraction form
    1,940.97/2,681.67 = 1,354.13/x
  3. Step 3: Cross multiply
    1,940.97x = 2,681.67 × 1,354.13
  4. Step 4: Simplify right side
    1,940.97x = 3,631,316.39
  5. Step 5: Solve for x
    x = 3,631,316.39/1,940.97
  6. Step 6: Final answer
    x = 1,870.88

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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.