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Finding the Fourth Proportional to 2,763.45, 3,813.76 and 1,568.64

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Solution

The fourth proportional to 2,763.45, 3,813.76 and 1,568.64 is: 2,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.45 : 3,813.76 = 1,568.64 : x
  2. Step 2: Convert to fraction form
    2,763.45/3,813.76 = 1,568.64/x
  3. Step 3: Cross multiply
    2,763.45x = 3,813.76 × 1,568.64
  4. Step 4: Simplify right side
    2,763.45x = 5,982,397.42
  5. Step 5: Solve for x
    x = 5,982,397.42/2,763.45
  6. Step 6: Final answer
    x = 2,164.83

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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.