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Finding the Fourth Proportional to 2,200, 3,299.64 and 1,548.76

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Solution

The fourth proportional to 2,200, 3,299.64 and 1,548.76 is: 2,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,299.64 = 1,548.76 : x
  2. Step 2: Convert to fraction form
    2,200/3,299.64 = 1,548.76/x
  3. Step 3: Cross multiply
    2,200x = 3,299.64 × 1,548.76
  4. Step 4: Simplify right side
    2,200x = 5,110,350.45
  5. Step 5: Solve for x
    x = 5,110,350.45/2,200
  6. Step 6: Final answer
    x = 2,322.89

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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.