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Finding the Fourth Proportional to 1,256.64, 1,882.08 and 1,213.44

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Solution

The fourth proportional to 1,256.64, 1,882.08 and 1,213.44 is: 1,817.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.64 : 1,882.08 = 1,213.44 : x
  2. Step 2: Convert to fraction form
    1,256.64/1,882.08 = 1,213.44/x
  3. Step 3: Cross multiply
    1,256.64x = 1,882.08 × 1,213.44
  4. Step 4: Simplify right side
    1,256.64x = 2,283,791.16
  5. Step 5: Solve for x
    x = 2,283,791.16/1,256.64
  6. Step 6: Final answer
    x = 1,817.38

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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.