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Finding the Fourth Proportional to 3,105.17, 4,655.78 and 1,719.43

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Solution

The fourth proportional to 3,105.17, 4,655.78 and 1,719.43 is: 2,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.17 : 4,655.78 = 1,719.43 : x
  2. Step 2: Convert to fraction form
    3,105.17/4,655.78 = 1,719.43/x
  3. Step 3: Cross multiply
    3,105.17x = 4,655.78 × 1,719.43
  4. Step 4: Simplify right side
    3,105.17x = 8,005,274.02
  5. Step 5: Solve for x
    x = 8,005,274.02/3,105.17
  6. Step 6: Final answer
    x = 2,578.05

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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.