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Finding the Fourth Proportional to 3,047.54, 4,572.72 and 1,659.22

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Solution

The fourth proportional to 3,047.54, 4,572.72 and 1,659.22 is: 2,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.54 : 4,572.72 = 1,659.22 : x
  2. Step 2: Convert to fraction form
    3,047.54/4,572.72 = 1,659.22/x
  3. Step 3: Cross multiply
    3,047.54x = 4,572.72 × 1,659.22
  4. Step 4: Simplify right side
    3,047.54x = 7,587,148.48
  5. Step 5: Solve for x
    x = 7,587,148.48/3,047.54
  6. Step 6: Final answer
    x = 2,489.60

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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.