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Finding the Fourth Proportional to 2,433.80, 3,359.31 and 1,426.41

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Solution

The fourth proportional to 2,433.80, 3,359.31 and 1,426.41 is: 1,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433.80 : 3,359.31 = 1,426.41 : x
  2. Step 2: Convert to fraction form
    2,433.80/3,359.31 = 1,426.41/x
  3. Step 3: Cross multiply
    2,433.80x = 3,359.31 × 1,426.41
  4. Step 4: Simplify right side
    2,433.80x = 4,791,753.38
  5. Step 5: Solve for x
    x = 4,791,753.38/2,433.80
  6. Step 6: Final answer
    x = 1,968.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.