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Finding the Fourth Proportional to 2,272.64, 3,135.04 and 1,388.48

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Solution

The fourth proportional to 2,272.64, 3,135.04 and 1,388.48 is: 1,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.64 : 3,135.04 = 1,388.48 : x
  2. Step 2: Convert to fraction form
    2,272.64/3,135.04 = 1,388.48/x
  3. Step 3: Cross multiply
    2,272.64x = 3,135.04 × 1,388.48
  4. Step 4: Simplify right side
    2,272.64x = 4,352,940.34
  5. Step 5: Solve for x
    x = 4,352,940.34/2,272.64
  6. Step 6: Final answer
    x = 1,915.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.