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Finding the Fourth Proportional to 1,659.57, 2,489.49 and 1,615.83

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Solution

The fourth proportional to 1,659.57, 2,489.49 and 1,615.83 is: 2,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.57 : 2,489.49 = 1,615.83 : x
  2. Step 2: Convert to fraction form
    1,659.57/2,489.49 = 1,615.83/x
  3. Step 3: Cross multiply
    1,659.57x = 2,489.49 × 1,615.83
  4. Step 4: Simplify right side
    1,659.57x = 4,022,592.63
  5. Step 5: Solve for x
    x = 4,022,592.63/1,659.57
  6. Step 6: Final answer
    x = 2,423.88

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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.