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Finding the Fourth Proportional to 3,162.42, 4,743.75 and 822.51

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Solution

The fourth proportional to 3,162.42, 4,743.75 and 822.51 is: 1,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.42 : 4,743.75 = 822.51 : x
  2. Step 2: Convert to fraction form
    3,162.42/4,743.75 = 822.51/x
  3. Step 3: Cross multiply
    3,162.42x = 4,743.75 × 822.51
  4. Step 4: Simplify right side
    3,162.42x = 3,901,781.81
  5. Step 5: Solve for x
    x = 3,901,781.81/3,162.42
  6. Step 6: Final answer
    x = 1,233.80

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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.