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Finding the Fourth Proportional to 1,648.23, 2,469.11 and 781.53

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Solution

The fourth proportional to 1,648.23, 2,469.11 and 781.53 is: 1,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.23 : 2,469.11 = 781.53 : x
  2. Step 2: Convert to fraction form
    1,648.23/2,469.11 = 781.53/x
  3. Step 3: Cross multiply
    1,648.23x = 2,469.11 × 781.53
  4. Step 4: Simplify right side
    1,648.23x = 1,929,679.63
  5. Step 5: Solve for x
    x = 1,929,679.63/1,648.23
  6. Step 6: Final answer
    x = 1,170.76

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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.