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Finding the Fourth Proportional to 1,609.35, 2,400.45 and 1,467.87

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Solution

The fourth proportional to 1,609.35, 2,400.45 and 1,467.87 is: 2,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.35 : 2,400.45 = 1,467.87 : x
  2. Step 2: Convert to fraction form
    1,609.35/2,400.45 = 1,467.87/x
  3. Step 3: Cross multiply
    1,609.35x = 2,400.45 × 1,467.87
  4. Step 4: Simplify right side
    1,609.35x = 3,523,548.54
  5. Step 5: Solve for x
    x = 3,523,548.54/1,609.35
  6. Step 6: Final answer
    x = 2,189.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.