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Finding the Fourth Proportional to 1,961.67, 2,706.99 and 1,077.41

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Solution

The fourth proportional to 1,961.67, 2,706.99 and 1,077.41 is: 1,486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.67 : 2,706.99 = 1,077.41 : x
  2. Step 2: Convert to fraction form
    1,961.67/2,706.99 = 1,077.41/x
  3. Step 3: Cross multiply
    1,961.67x = 2,706.99 × 1,077.41
  4. Step 4: Simplify right side
    1,961.67x = 2,916,538.10
  5. Step 5: Solve for x
    x = 2,916,538.10/1,961.67
  6. Step 6: Final answer
    x = 1,486.76

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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.