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Finding the Fourth Proportional to 2,397.96, 3,308.23 and 1,467

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Solution

The fourth proportional to 2,397.96, 3,308.23 and 1,467 is: 2,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.96 : 3,308.23 = 1,467 : x
  2. Step 2: Convert to fraction form
    2,397.96/3,308.23 = 1,467/x
  3. Step 3: Cross multiply
    2,397.96x = 3,308.23 × 1,467
  4. Step 4: Simplify right side
    2,397.96x = 4,853,173.41
  5. Step 5: Solve for x
    x = 4,853,173.41/2,397.96
  6. Step 6: Final answer
    x = 2,023.88

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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.