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Finding the Fourth Proportional to 3,343, 4,613.36 and 1,945.84

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Solution

The fourth proportional to 3,343, 4,613.36 and 1,945.84 is: 2,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343 : 4,613.36 = 1,945.84 : x
  2. Step 2: Convert to fraction form
    3,343/4,613.36 = 1,945.84/x
  3. Step 3: Cross multiply
    3,343x = 4,613.36 × 1,945.84
  4. Step 4: Simplify right side
    3,343x = 8,976,860.42
  5. Step 5: Solve for x
    x = 8,976,860.42/3,343
  6. Step 6: Final answer
    x = 2,685.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.