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Finding the Fourth Proportional to 2,138.32, 3,207.27 and 1,449.42

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Solution

The fourth proportional to 2,138.32, 3,207.27 and 1,449.42 is: 2,173.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.32 : 3,207.27 = 1,449.42 : x
  2. Step 2: Convert to fraction form
    2,138.32/3,207.27 = 1,449.42/x
  3. Step 3: Cross multiply
    2,138.32x = 3,207.27 × 1,449.42
  4. Step 4: Simplify right side
    2,138.32x = 4,648,674.69
  5. Step 5: Solve for x
    x = 4,648,674.69/2,138.32
  6. Step 6: Final answer
    x = 2,173.98

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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.