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Finding the Fourth Proportional to 1,961.77, 2,707.29 and 1,077.63

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Solution

The fourth proportional to 1,961.77, 2,707.29 and 1,077.63 is: 1,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.77 : 2,707.29 = 1,077.63 : x
  2. Step 2: Convert to fraction form
    1,961.77/2,707.29 = 1,077.63/x
  3. Step 3: Cross multiply
    1,961.77x = 2,707.29 × 1,077.63
  4. Step 4: Simplify right side
    1,961.77x = 2,917,456.92
  5. Step 5: Solve for x
    x = 2,917,456.92/1,961.77
  6. Step 6: Final answer
    x = 1,487.16

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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.