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Finding the Fourth Proportional to 2,765.75, 3,815.69 and 1,646.73

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Solution

The fourth proportional to 2,765.75, 3,815.69 and 1,646.73 is: 2,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.75 : 3,815.69 = 1,646.73 : x
  2. Step 2: Convert to fraction form
    2,765.75/3,815.69 = 1,646.73/x
  3. Step 3: Cross multiply
    2,765.75x = 3,815.69 × 1,646.73
  4. Step 4: Simplify right side
    2,765.75x = 6,283,402.96
  5. Step 5: Solve for x
    x = 6,283,402.96/2,765.75
  6. Step 6: Final answer
    x = 2,271.87

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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.