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Finding the Fourth Proportional to 2,426.40, 3,639.32 and 671.53

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Solution

The fourth proportional to 2,426.40, 3,639.32 and 671.53 is: 1,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.40 : 3,639.32 = 671.53 : x
  2. Step 2: Convert to fraction form
    2,426.40/3,639.32 = 671.53/x
  3. Step 3: Cross multiply
    2,426.40x = 3,639.32 × 671.53
  4. Step 4: Simplify right side
    2,426.40x = 2,443,912.56
  5. Step 5: Solve for x
    x = 2,443,912.56/2,426.40
  6. Step 6: Final answer
    x = 1,007.22

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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.