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Finding the Fourth Proportional to 2,308.40, 3,462.60 and 665

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Solution

The fourth proportional to 2,308.40, 3,462.60 and 665 is: 997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.40 : 3,462.60 = 665 : x
  2. Step 2: Convert to fraction form
    2,308.40/3,462.60 = 665/x
  3. Step 3: Cross multiply
    2,308.40x = 3,462.60 × 665
  4. Step 4: Simplify right side
    2,308.40x = 2,302,629
  5. Step 5: Solve for x
    x = 2,302,629/2,308.40
  6. Step 6: Final answer
    x = 997.50

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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.