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Finding the Fourth Proportional to 3,482.98, 5,224.48 and 1,632.81

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Solution

The fourth proportional to 3,482.98, 5,224.48 and 1,632.81 is: 2,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.98 : 5,224.48 = 1,632.81 : x
  2. Step 2: Convert to fraction form
    3,482.98/5,224.48 = 1,632.81/x
  3. Step 3: Cross multiply
    3,482.98x = 5,224.48 × 1,632.81
  4. Step 4: Simplify right side
    3,482.98x = 8,530,578.50
  5. Step 5: Solve for x
    x = 8,530,578.50/3,482.98
  6. Step 6: Final answer
    x = 2,449.22

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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.