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Finding the Fourth Proportional to 2,645.83, 3,957.81 and 2,405.26

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Solution

The fourth proportional to 2,645.83, 3,957.81 and 2,405.26 is: 3,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.83 : 3,957.81 = 2,405.26 : x
  2. Step 2: Convert to fraction form
    2,645.83/3,957.81 = 2,405.26/x
  3. Step 3: Cross multiply
    2,645.83x = 3,957.81 × 2,405.26
  4. Step 4: Simplify right side
    2,645.83x = 9,519,571.54
  5. Step 5: Solve for x
    x = 9,519,571.54/2,645.83
  6. Step 6: Final answer
    x = 3,597.95

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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.