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Finding the Fourth Proportional to 2,426.27, 3,639.40 and 694.90

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Solution

The fourth proportional to 2,426.27, 3,639.40 and 694.90 is: 1,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.27 : 3,639.40 = 694.90 : x
  2. Step 2: Convert to fraction form
    2,426.27/3,639.40 = 694.90/x
  3. Step 3: Cross multiply
    2,426.27x = 3,639.40 × 694.90
  4. Step 4: Simplify right side
    2,426.27x = 2,528,997.39
  5. Step 5: Solve for x
    x = 2,528,997.39/2,426.27
  6. Step 6: Final answer
    x = 1,042.34

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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.