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Finding the Fourth Proportional to 2,595.87, 3,892.61 and 952.43

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Solution

The fourth proportional to 2,595.87, 3,892.61 and 952.43 is: 1,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.87 : 3,892.61 = 952.43 : x
  2. Step 2: Convert to fraction form
    2,595.87/3,892.61 = 952.43/x
  3. Step 3: Cross multiply
    2,595.87x = 3,892.61 × 952.43
  4. Step 4: Simplify right side
    2,595.87x = 3,707,421.46
  5. Step 5: Solve for x
    x = 3,707,421.46/2,595.87
  6. Step 6: Final answer
    x = 1,428.20

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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.