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Finding the Fourth Proportional to 2,936.57, 4,051.77 and 1,660.48

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Solution

The fourth proportional to 2,936.57, 4,051.77 and 1,660.48 is: 2,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.57 : 4,051.77 = 1,660.48 : x
  2. Step 2: Convert to fraction form
    2,936.57/4,051.77 = 1,660.48/x
  3. Step 3: Cross multiply
    2,936.57x = 4,051.77 × 1,660.48
  4. Step 4: Simplify right side
    2,936.57x = 6,727,864.56
  5. Step 5: Solve for x
    x = 6,727,864.56/2,936.57
  6. Step 6: Final answer
    x = 2,291.06

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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.