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Finding the Fourth Proportional to 2,188.50, 3,278.96 and 1,474.79

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Solution

The fourth proportional to 2,188.50, 3,278.96 and 1,474.79 is: 2,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.50 : 3,278.96 = 1,474.79 : x
  2. Step 2: Convert to fraction form
    2,188.50/3,278.96 = 1,474.79/x
  3. Step 3: Cross multiply
    2,188.50x = 3,278.96 × 1,474.79
  4. Step 4: Simplify right side
    2,188.50x = 4,835,759.18
  5. Step 5: Solve for x
    x = 4,835,759.18/2,188.50
  6. Step 6: Final answer
    x = 2,209.63

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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.