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Finding the Fourth Proportional to 2,728.68, 3,770.60 and 2,064.36

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Solution

The fourth proportional to 2,728.68, 3,770.60 and 2,064.36 is: 2,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.68 : 3,770.60 = 2,064.36 : x
  2. Step 2: Convert to fraction form
    2,728.68/3,770.60 = 2,064.36/x
  3. Step 3: Cross multiply
    2,728.68x = 3,770.60 × 2,064.36
  4. Step 4: Simplify right side
    2,728.68x = 7,783,875.82
  5. Step 5: Solve for x
    x = 7,783,875.82/2,728.68
  6. Step 6: Final answer
    x = 2,852.62

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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.