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Finding the Fourth Proportional to 3,149.13, 4,721.67 and 1,505.64

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Solution

The fourth proportional to 3,149.13, 4,721.67 and 1,505.64 is: 2,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.13 : 4,721.67 = 1,505.64 : x
  2. Step 2: Convert to fraction form
    3,149.13/4,721.67 = 1,505.64/x
  3. Step 3: Cross multiply
    3,149.13x = 4,721.67 × 1,505.64
  4. Step 4: Simplify right side
    3,149.13x = 7,109,135.22
  5. Step 5: Solve for x
    x = 7,109,135.22/3,149.13
  6. Step 6: Final answer
    x = 2,257.49

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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.