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Finding the Fourth Proportional to 1,961.82, 2,707.32 and 1,077.65

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Solution

The fourth proportional to 1,961.82, 2,707.32 and 1,077.65 is: 1,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.82 : 2,707.32 = 1,077.65 : x
  2. Step 2: Convert to fraction form
    1,961.82/2,707.32 = 1,077.65/x
  3. Step 3: Cross multiply
    1,961.82x = 2,707.32 × 1,077.65
  4. Step 4: Simplify right side
    1,961.82x = 2,917,543.40
  5. Step 5: Solve for x
    x = 2,917,543.40/1,961.82
  6. Step 6: Final answer
    x = 1,487.16

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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.