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Finding the Fourth Proportional to 2,593.71, 3,892.20 and 950.10

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Solution

The fourth proportional to 2,593.71, 3,892.20 and 950.10 is: 1,425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.71 : 3,892.20 = 950.10 : x
  2. Step 2: Convert to fraction form
    2,593.71/3,892.20 = 950.10/x
  3. Step 3: Cross multiply
    2,593.71x = 3,892.20 × 950.10
  4. Step 4: Simplify right side
    2,593.71x = 3,697,979.22
  5. Step 5: Solve for x
    x = 3,697,979.22/2,593.71
  6. Step 6: Final answer
    x = 1,425.75

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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.