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Finding the Fourth Proportional to 3,308.37, 4,962.01 and 967.81

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Solution

The fourth proportional to 3,308.37, 4,962.01 and 967.81 is: 1,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.37 : 4,962.01 = 967.81 : x
  2. Step 2: Convert to fraction form
    3,308.37/4,962.01 = 967.81/x
  3. Step 3: Cross multiply
    3,308.37x = 4,962.01 × 967.81
  4. Step 4: Simplify right side
    3,308.37x = 4,802,282.90
  5. Step 5: Solve for x
    x = 4,802,282.90/3,308.37
  6. Step 6: Final answer
    x = 1,451.56

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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.