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Finding the Fourth Proportional to 3,268.34, 4,509.05 and 2,419.61

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Solution

The fourth proportional to 3,268.34, 4,509.05 and 2,419.61 is: 3,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,268.34 : 4,509.05 = 2,419.61 : x
  2. Step 2: Convert to fraction form
    3,268.34/4,509.05 = 2,419.61/x
  3. Step 3: Cross multiply
    3,268.34x = 4,509.05 × 2,419.61
  4. Step 4: Simplify right side
    3,268.34x = 10,910,159.79
  5. Step 5: Solve for x
    x = 10,910,159.79/3,268.34
  6. Step 6: Final answer
    x = 3,338.13

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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.