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Finding the Fourth Proportional to 3,277.68, 4,914.60 and 2,250.48

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Solution

The fourth proportional to 3,277.68, 4,914.60 and 2,250.48 is: 3,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.68 : 4,914.60 = 2,250.48 : x
  2. Step 2: Convert to fraction form
    3,277.68/4,914.60 = 2,250.48/x
  3. Step 3: Cross multiply
    3,277.68x = 4,914.60 × 2,250.48
  4. Step 4: Simplify right side
    3,277.68x = 11,060,209.01
  5. Step 5: Solve for x
    x = 11,060,209.01/3,277.68
  6. Step 6: Final answer
    x = 3,374.40

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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.