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Finding the Fourth Proportional to 1,883.33, 2,819.07 and 1,294.90

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Solution

The fourth proportional to 1,883.33, 2,819.07 and 1,294.90 is: 1,938.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.33 : 2,819.07 = 1,294.90 : x
  2. Step 2: Convert to fraction form
    1,883.33/2,819.07 = 1,294.90/x
  3. Step 3: Cross multiply
    1,883.33x = 2,819.07 × 1,294.90
  4. Step 4: Simplify right side
    1,883.33x = 3,650,413.74
  5. Step 5: Solve for x
    x = 3,650,413.74/1,883.33
  6. Step 6: Final answer
    x = 1,938.28

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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.