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Finding the Fourth Proportional to 2,614.62, 3,609.84 and 1,731.60

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Solution

The fourth proportional to 2,614.62, 3,609.84 and 1,731.60 is: 2,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.62 : 3,609.84 = 1,731.60 : x
  2. Step 2: Convert to fraction form
    2,614.62/3,609.84 = 1,731.60/x
  3. Step 3: Cross multiply
    2,614.62x = 3,609.84 × 1,731.60
  4. Step 4: Simplify right side
    2,614.62x = 6,250,798.94
  5. Step 5: Solve for x
    x = 6,250,798.94/2,614.62
  6. Step 6: Final answer
    x = 2,390.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.