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Finding the Fourth Proportional to 2,405.12, 3,609.72 and 945.29

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Solution

The fourth proportional to 2,405.12, 3,609.72 and 945.29 is: 1,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.12 : 3,609.72 = 945.29 : x
  2. Step 2: Convert to fraction form
    2,405.12/3,609.72 = 945.29/x
  3. Step 3: Cross multiply
    2,405.12x = 3,609.72 × 945.29
  4. Step 4: Simplify right side
    2,405.12x = 3,412,241.24
  5. Step 5: Solve for x
    x = 3,412,241.24/2,405.12
  6. Step 6: Final answer
    x = 1,418.74

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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.