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Finding the Fourth Proportional to 3,257.80, 4,494.44 and 2,409.08

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Solution

The fourth proportional to 3,257.80, 4,494.44 and 2,409.08 is: 3,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.80 : 4,494.44 = 2,409.08 : x
  2. Step 2: Convert to fraction form
    3,257.80/4,494.44 = 2,409.08/x
  3. Step 3: Cross multiply
    3,257.80x = 4,494.44 × 2,409.08
  4. Step 4: Simplify right side
    3,257.80x = 10,827,465.52
  5. Step 5: Solve for x
    x = 10,827,465.52/3,257.80
  6. Step 6: Final answer
    x = 3,323.55

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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.