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Finding the Fourth Proportional to 3,049.55, 4,567 and 1,659.43

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Solution

The fourth proportional to 3,049.55, 4,567 and 1,659.43 is: 2,485.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.55 : 4,567 = 1,659.43 : x
  2. Step 2: Convert to fraction form
    3,049.55/4,567 = 1,659.43/x
  3. Step 3: Cross multiply
    3,049.55x = 4,567 × 1,659.43
  4. Step 4: Simplify right side
    3,049.55x = 7,578,616.81
  5. Step 5: Solve for x
    x = 7,578,616.81/3,049.55
  6. Step 6: Final answer
    x = 2,485.16

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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.