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Finding the Fourth Proportional to 2,224.24, 3,335.40 and 763.48

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Solution

The fourth proportional to 2,224.24, 3,335.40 and 763.48 is: 1,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.24 : 3,335.40 = 763.48 : x
  2. Step 2: Convert to fraction form
    2,224.24/3,335.40 = 763.48/x
  3. Step 3: Cross multiply
    2,224.24x = 3,335.40 × 763.48
  4. Step 4: Simplify right side
    2,224.24x = 2,546,511.19
  5. Step 5: Solve for x
    x = 2,546,511.19/2,224.24
  6. Step 6: Final answer
    x = 1,144.89

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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.