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Finding the Fourth Proportional to 2,765.76, 3,815.07 and 1,645.95

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Solution

The fourth proportional to 2,765.76, 3,815.07 and 1,645.95 is: 2,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.76 : 3,815.07 = 1,645.95 : x
  2. Step 2: Convert to fraction form
    2,765.76/3,815.07 = 1,645.95/x
  3. Step 3: Cross multiply
    2,765.76x = 3,815.07 × 1,645.95
  4. Step 4: Simplify right side
    2,765.76x = 6,279,414.47
  5. Step 5: Solve for x
    x = 6,279,414.47/2,765.76
  6. Step 6: Final answer
    x = 2,270.41

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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.