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Finding the Fourth Proportional to 2,474.49, 3,432.30 and 2,385.84

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Solution

The fourth proportional to 2,474.49, 3,432.30 and 2,385.84 is: 3,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.49 : 3,432.30 = 2,385.84 : x
  2. Step 2: Convert to fraction form
    2,474.49/3,432.30 = 2,385.84/x
  3. Step 3: Cross multiply
    2,474.49x = 3,432.30 × 2,385.84
  4. Step 4: Simplify right side
    2,474.49x = 8,188,918.63
  5. Step 5: Solve for x
    x = 8,188,918.63/2,474.49
  6. Step 6: Final answer
    x = 3,309.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.