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Finding the Fourth Proportional to 2,308.91, 3,463.55 and 748.30

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Solution

The fourth proportional to 2,308.91, 3,463.55 and 748.30 is: 1,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.91 : 3,463.55 = 748.30 : x
  2. Step 2: Convert to fraction form
    2,308.91/3,463.55 = 748.30/x
  3. Step 3: Cross multiply
    2,308.91x = 3,463.55 × 748.30
  4. Step 4: Simplify right side
    2,308.91x = 2,591,777.77
  5. Step 5: Solve for x
    x = 2,591,777.77/2,308.91
  6. Step 6: Final answer
    x = 1,122.51

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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.