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Finding the Fourth Proportional to 2,648.33, 3,969.84 and 1,328.04

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Solution

The fourth proportional to 2,648.33, 3,969.84 and 1,328.04 is: 1,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.33 : 3,969.84 = 1,328.04 : x
  2. Step 2: Convert to fraction form
    2,648.33/3,969.84 = 1,328.04/x
  3. Step 3: Cross multiply
    2,648.33x = 3,969.84 × 1,328.04
  4. Step 4: Simplify right side
    2,648.33x = 5,272,106.31
  5. Step 5: Solve for x
    x = 5,272,106.31/2,648.33
  6. Step 6: Final answer
    x = 1,990.73

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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.