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Finding the Fourth Proportional to 2,399.27, 3,595.64 and 1,164.21

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Solution

The fourth proportional to 2,399.27, 3,595.64 and 1,164.21 is: 1,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.27 : 3,595.64 = 1,164.21 : x
  2. Step 2: Convert to fraction form
    2,399.27/3,595.64 = 1,164.21/x
  3. Step 3: Cross multiply
    2,399.27x = 3,595.64 × 1,164.21
  4. Step 4: Simplify right side
    2,399.27x = 4,186,074.22
  5. Step 5: Solve for x
    x = 4,186,074.22/2,399.27
  6. Step 6: Final answer
    x = 1,744.73

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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.