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Finding the Fourth Proportional to 2,361.68, 3,542.52 and 994.64

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Solution

The fourth proportional to 2,361.68, 3,542.52 and 994.64 is: 1,491.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.68 : 3,542.52 = 994.64 : x
  2. Step 2: Convert to fraction form
    2,361.68/3,542.52 = 994.64/x
  3. Step 3: Cross multiply
    2,361.68x = 3,542.52 × 994.64
  4. Step 4: Simplify right side
    2,361.68x = 3,523,532.09
  5. Step 5: Solve for x
    x = 3,523,532.09/2,361.68
  6. Step 6: Final answer
    x = 1,491.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.