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Finding the Fourth Proportional to 1,961.64, 2,707.05 and 1,077.46

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Solution

The fourth proportional to 1,961.64, 2,707.05 and 1,077.46 is: 1,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.64 : 2,707.05 = 1,077.46 : x
  2. Step 2: Convert to fraction form
    1,961.64/2,707.05 = 1,077.46/x
  3. Step 3: Cross multiply
    1,961.64x = 2,707.05 × 1,077.46
  4. Step 4: Simplify right side
    1,961.64x = 2,916,738.09
  5. Step 5: Solve for x
    x = 2,916,738.09/1,961.64
  6. Step 6: Final answer
    x = 1,486.89

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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.