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Finding the Fourth Proportional to 2,664.96, 3,995.02 and 932.64

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Solution

The fourth proportional to 2,664.96, 3,995.02 and 932.64 is: 1,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,664.96 : 3,995.02 = 932.64 : x
  2. Step 2: Convert to fraction form
    2,664.96/3,995.02 = 932.64/x
  3. Step 3: Cross multiply
    2,664.96x = 3,995.02 × 932.64
  4. Step 4: Simplify right side
    2,664.96x = 3,725,915.45
  5. Step 5: Solve for x
    x = 3,725,915.45/2,664.96
  6. Step 6: Final answer
    x = 1,398.11

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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.