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Finding the Fourth Proportional to 2,765.91, 3,816.81 and 1,646.84

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Solution

The fourth proportional to 2,765.91, 3,816.81 and 1,646.84 is: 2,272.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.91 : 3,816.81 = 1,646.84 : x
  2. Step 2: Convert to fraction form
    2,765.91/3,816.81 = 1,646.84/x
  3. Step 3: Cross multiply
    2,765.91x = 3,816.81 × 1,646.84
  4. Step 4: Simplify right side
    2,765.91x = 6,285,656.30
  5. Step 5: Solve for x
    x = 6,285,656.30/2,765.91
  6. Step 6: Final answer
    x = 2,272.55

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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.