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Finding the Fourth Proportional to 2,405.81, 3,322.76 and 1,618.49

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Solution

The fourth proportional to 2,405.81, 3,322.76 and 1,618.49 is: 2,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.81 : 3,322.76 = 1,618.49 : x
  2. Step 2: Convert to fraction form
    2,405.81/3,322.76 = 1,618.49/x
  3. Step 3: Cross multiply
    2,405.81x = 3,322.76 × 1,618.49
  4. Step 4: Simplify right side
    2,405.81x = 5,377,854.05
  5. Step 5: Solve for x
    x = 5,377,854.05/2,405.81
  6. Step 6: Final answer
    x = 2,235.36

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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.