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Finding the Fourth Proportional to 3,241.14, 4,861.74 and 932.64

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Solution

The fourth proportional to 3,241.14, 4,861.74 and 932.64 is: 1,398.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.14 : 4,861.74 = 932.64 : x
  2. Step 2: Convert to fraction form
    3,241.14/4,861.74 = 932.64/x
  3. Step 3: Cross multiply
    3,241.14x = 4,861.74 × 932.64
  4. Step 4: Simplify right side
    3,241.14x = 4,534,253.19
  5. Step 5: Solve for x
    x = 4,534,253.19/3,241.14
  6. Step 6: Final answer
    x = 1,398.97

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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.