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Finding the Fourth Proportional to 2,644.42, 3,965.13 and 1,812.42

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Solution

The fourth proportional to 2,644.42, 3,965.13 and 1,812.42 is: 2,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.42 : 3,965.13 = 1,812.42 : x
  2. Step 2: Convert to fraction form
    2,644.42/3,965.13 = 1,812.42/x
  3. Step 3: Cross multiply
    2,644.42x = 3,965.13 × 1,812.42
  4. Step 4: Simplify right side
    2,644.42x = 7,186,480.91
  5. Step 5: Solve for x
    x = 7,186,480.91/2,644.42
  6. Step 6: Final answer
    x = 2,717.60

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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.