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Finding the Fourth Proportional to 2,765.85, 3,816.57 and 1,646.63

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Solution

The fourth proportional to 2,765.85, 3,816.57 and 1,646.63 is: 2,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.85 : 3,816.57 = 1,646.63 : x
  2. Step 2: Convert to fraction form
    2,765.85/3,816.57 = 1,646.63/x
  3. Step 3: Cross multiply
    2,765.85x = 3,816.57 × 1,646.63
  4. Step 4: Simplify right side
    2,765.85x = 6,284,470.43
  5. Step 5: Solve for x
    x = 6,284,470.43/2,765.85
  6. Step 6: Final answer
    x = 2,272.17

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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.