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Finding the Fourth Proportional to 2,405.32, 3,604.44 and 1,171.32

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Solution

The fourth proportional to 2,405.32, 3,604.44 and 1,171.32 is: 1,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.32 : 3,604.44 = 1,171.32 : x
  2. Step 2: Convert to fraction form
    2,405.32/3,604.44 = 1,171.32/x
  3. Step 3: Cross multiply
    2,405.32x = 3,604.44 × 1,171.32
  4. Step 4: Simplify right side
    2,405.32x = 4,221,952.66
  5. Step 5: Solve for x
    x = 4,221,952.66/2,405.32
  6. Step 6: Final answer
    x = 1,755.26

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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.