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Finding the Fourth Proportional to 2,673.60, 4,010.13 and 824.21

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Solution

The fourth proportional to 2,673.60, 4,010.13 and 824.21 is: 1,236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.60 : 4,010.13 = 824.21 : x
  2. Step 2: Convert to fraction form
    2,673.60/4,010.13 = 824.21/x
  3. Step 3: Cross multiply
    2,673.60x = 4,010.13 × 824.21
  4. Step 4: Simplify right side
    2,673.60x = 3,305,189.25
  5. Step 5: Solve for x
    x = 3,305,189.25/2,673.60
  6. Step 6: Final answer
    x = 1,236.23

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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.