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Finding the Fourth Proportional to 1,933.33, 2,667.98 and 1,049.14

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Solution

The fourth proportional to 1,933.33, 2,667.98 and 1,049.14 is: 1,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933.33 : 2,667.98 = 1,049.14 : x
  2. Step 2: Convert to fraction form
    1,933.33/2,667.98 = 1,049.14/x
  3. Step 3: Cross multiply
    1,933.33x = 2,667.98 × 1,049.14
  4. Step 4: Simplify right side
    1,933.33x = 2,799,065.95
  5. Step 5: Solve for x
    x = 2,799,065.95/1,933.33
  6. Step 6: Final answer
    x = 1,447.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.