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Finding the Fourth Proportional to 2,410.43, 3,614.27 and 948.78

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Solution

The fourth proportional to 2,410.43, 3,614.27 and 948.78 is: 1,422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,410.43 : 3,614.27 = 948.78 : x
  2. Step 2: Convert to fraction form
    2,410.43/3,614.27 = 948.78/x
  3. Step 3: Cross multiply
    2,410.43x = 3,614.27 × 948.78
  4. Step 4: Simplify right side
    2,410.43x = 3,429,147.09
  5. Step 5: Solve for x
    x = 3,429,147.09/2,410.43
  6. Step 6: Final answer
    x = 1,422.63

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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.