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Finding the Fourth Proportional to 4,832.50, 7,249.74 and 1,670.20

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Solution

The fourth proportional to 4,832.50, 7,249.74 and 1,670.20 is: 2,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.50 : 7,249.74 = 1,670.20 : x
  2. Step 2: Convert to fraction form
    4,832.50/7,249.74 = 1,670.20/x
  3. Step 3: Cross multiply
    4,832.50x = 7,249.74 × 1,670.20
  4. Step 4: Simplify right side
    4,832.50x = 12,108,515.75
  5. Step 5: Solve for x
    x = 12,108,515.75/4,832.50
  6. Step 6: Final answer
    x = 2,505.64

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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.