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Finding the Fourth Proportional to 1,921.54, 2,650.65 and 1,299.46

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Solution

The fourth proportional to 1,921.54, 2,650.65 and 1,299.46 is: 1,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.54 : 2,650.65 = 1,299.46 : x
  2. Step 2: Convert to fraction form
    1,921.54/2,650.65 = 1,299.46/x
  3. Step 3: Cross multiply
    1,921.54x = 2,650.65 × 1,299.46
  4. Step 4: Simplify right side
    1,921.54x = 3,444,413.65
  5. Step 5: Solve for x
    x = 3,444,413.65/1,921.54
  6. Step 6: Final answer
    x = 1,792.53

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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.