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Finding the Fourth Proportional to 2,623.64, 3,953.51 and 2,171.56

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Solution

The fourth proportional to 2,623.64, 3,953.51 and 2,171.56 is: 3,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,623.64 : 3,953.51 = 2,171.56 : x
  2. Step 2: Convert to fraction form
    2,623.64/3,953.51 = 2,171.56/x
  3. Step 3: Cross multiply
    2,623.64x = 3,953.51 × 2,171.56
  4. Step 4: Simplify right side
    2,623.64x = 8,585,278.99
  5. Step 5: Solve for x
    x = 8,585,278.99/2,623.64
  6. Step 6: Final answer
    x = 3,272.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.