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Finding the Fourth Proportional to 2,672.93, 4,009.82 and 824.04

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Solution

The fourth proportional to 2,672.93, 4,009.82 and 824.04 is: 1,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.93 : 4,009.82 = 824.04 : x
  2. Step 2: Convert to fraction form
    2,672.93/4,009.82 = 824.04/x
  3. Step 3: Cross multiply
    2,672.93x = 4,009.82 × 824.04
  4. Step 4: Simplify right side
    2,672.93x = 3,304,260.11
  5. Step 5: Solve for x
    x = 3,304,260.11/2,672.93
  6. Step 6: Final answer
    x = 1,236.19

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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.