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Finding the Fourth Proportional to 1,817.64, 2,729.57 and 1,609.88

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Solution

The fourth proportional to 1,817.64, 2,729.57 and 1,609.88 is: 2,417.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.64 : 2,729.57 = 1,609.88 : x
  2. Step 2: Convert to fraction form
    1,817.64/2,729.57 = 1,609.88/x
  3. Step 3: Cross multiply
    1,817.64x = 2,729.57 × 1,609.88
  4. Step 4: Simplify right side
    1,817.64x = 4,394,258.45
  5. Step 5: Solve for x
    x = 4,394,258.45/1,817.64
  6. Step 6: Final answer
    x = 2,417.56

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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.