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Finding the Fourth Proportional to 2,748.43, 3,792.84 and 1,489.49

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Solution

The fourth proportional to 2,748.43, 3,792.84 and 1,489.49 is: 2,055.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.43 : 3,792.84 = 1,489.49 : x
  2. Step 2: Convert to fraction form
    2,748.43/3,792.84 = 1,489.49/x
  3. Step 3: Cross multiply
    2,748.43x = 3,792.84 × 1,489.49
  4. Step 4: Simplify right side
    2,748.43x = 5,649,397.25
  5. Step 5: Solve for x
    x = 5,649,397.25/2,748.43
  6. Step 6: Final answer
    x = 2,055.50

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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.