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Finding the Fourth Proportional to 2,672.91, 4,009.43 and 824.08

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Solution

The fourth proportional to 2,672.91, 4,009.43 and 824.08 is: 1,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.91 : 4,009.43 = 824.08 : x
  2. Step 2: Convert to fraction form
    2,672.91/4,009.43 = 824.08/x
  3. Step 3: Cross multiply
    2,672.91x = 4,009.43 × 824.08
  4. Step 4: Simplify right side
    2,672.91x = 3,304,091.07
  5. Step 5: Solve for x
    x = 3,304,091.07/2,672.91
  6. Step 6: Final answer
    x = 1,236.14

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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.