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Finding the Fourth Proportional to 2,663.33, 3,997.14 and 1,202.61

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Solution

The fourth proportional to 2,663.33, 3,997.14 and 1,202.61 is: 1,804.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.33 : 3,997.14 = 1,202.61 : x
  2. Step 2: Convert to fraction form
    2,663.33/3,997.14 = 1,202.61/x
  3. Step 3: Cross multiply
    2,663.33x = 3,997.14 × 1,202.61
  4. Step 4: Simplify right side
    2,663.33x = 4,806,994.52
  5. Step 5: Solve for x
    x = 4,806,994.52/2,663.33
  6. Step 6: Final answer
    x = 1,804.88

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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.