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Finding the Fourth Proportional to 2,609.25, 3,913.94 and 661.60

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Solution

The fourth proportional to 2,609.25, 3,913.94 and 661.60 is: 992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.25 : 3,913.94 = 661.60 : x
  2. Step 2: Convert to fraction form
    2,609.25/3,913.94 = 661.60/x
  3. Step 3: Cross multiply
    2,609.25x = 3,913.94 × 661.60
  4. Step 4: Simplify right side
    2,609.25x = 2,589,462.70
  5. Step 5: Solve for x
    x = 2,589,462.70/2,609.25
  6. Step 6: Final answer
    x = 992.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.