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Finding the Fourth Proportional to 2,748.56, 3,792.06 and 1,568.79

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Solution

The fourth proportional to 2,748.56, 3,792.06 and 1,568.79 is: 2,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.56 : 3,792.06 = 1,568.79 : x
  2. Step 2: Convert to fraction form
    2,748.56/3,792.06 = 1,568.79/x
  3. Step 3: Cross multiply
    2,748.56x = 3,792.06 × 1,568.79
  4. Step 4: Simplify right side
    2,748.56x = 5,948,945.81
  5. Step 5: Solve for x
    x = 5,948,945.81/2,748.56
  6. Step 6: Final answer
    x = 2,164.39

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Why These Related Problems?

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