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Finding the Fourth Proportional to 2,673.12, 4,009.89 and 824.23

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Solution

The fourth proportional to 2,673.12, 4,009.89 and 824.23 is: 1,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.12 : 4,009.89 = 824.23 : x
  2. Step 2: Convert to fraction form
    2,673.12/4,009.89 = 824.23/x
  3. Step 3: Cross multiply
    2,673.12x = 4,009.89 × 824.23
  4. Step 4: Simplify right side
    2,673.12x = 3,305,071.63
  5. Step 5: Solve for x
    x = 3,305,071.63/2,673.12
  6. Step 6: Final answer
    x = 1,236.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.