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Finding the Fourth Proportional to 1,672.28, 2,308.82 and 1,229.42

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Solution

The fourth proportional to 1,672.28, 2,308.82 and 1,229.42 is: 1,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,672.28 : 2,308.82 = 1,229.42 : x
  2. Step 2: Convert to fraction form
    1,672.28/2,308.82 = 1,229.42/x
  3. Step 3: Cross multiply
    1,672.28x = 2,308.82 × 1,229.42
  4. Step 4: Simplify right side
    1,672.28x = 2,838,509.48
  5. Step 5: Solve for x
    x = 2,838,509.48/1,672.28
  6. Step 6: Final answer
    x = 1,697.39

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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.