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Finding the Fourth Proportional to 1,712.05, 2,568.33 and 541.78

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Solution

The fourth proportional to 1,712.05, 2,568.33 and 541.78 is: 812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.05 : 2,568.33 = 541.78 : x
  2. Step 2: Convert to fraction form
    1,712.05/2,568.33 = 541.78/x
  3. Step 3: Cross multiply
    1,712.05x = 2,568.33 × 541.78
  4. Step 4: Simplify right side
    1,712.05x = 1,391,469.83
  5. Step 5: Solve for x
    x = 1,391,469.83/1,712.05
  6. Step 6: Final answer
    x = 812.75

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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.