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Finding the Fourth Proportional to 2,701.64, 3,727.56 and 2,072.80

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Solution

The fourth proportional to 2,701.64, 3,727.56 and 2,072.80 is: 2,859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.64 : 3,727.56 = 2,072.80 : x
  2. Step 2: Convert to fraction form
    2,701.64/3,727.56 = 2,072.80/x
  3. Step 3: Cross multiply
    2,701.64x = 3,727.56 × 2,072.80
  4. Step 4: Simplify right side
    2,701.64x = 7,726,486.37
  5. Step 5: Solve for x
    x = 7,726,486.37/2,701.64
  6. Step 6: Final answer
    x = 2,859.92

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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.