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Finding the Fourth Proportional to 2,773.14, 4,160.57 and 1,663.79

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Solution

The fourth proportional to 2,773.14, 4,160.57 and 1,663.79 is: 2,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.14 : 4,160.57 = 1,663.79 : x
  2. Step 2: Convert to fraction form
    2,773.14/4,160.57 = 1,663.79/x
  3. Step 3: Cross multiply
    2,773.14x = 4,160.57 × 1,663.79
  4. Step 4: Simplify right side
    2,773.14x = 6,922,309.04
  5. Step 5: Solve for x
    x = 6,922,309.04/2,773.14
  6. Step 6: Final answer
    x = 2,496.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.