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Finding the Fourth Proportional to 2,656.63, 3,984.42 and 2,524.92

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Solution

The fourth proportional to 2,656.63, 3,984.42 and 2,524.92 is: 3,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.63 : 3,984.42 = 2,524.92 : x
  2. Step 2: Convert to fraction form
    2,656.63/3,984.42 = 2,524.92/x
  3. Step 3: Cross multiply
    2,656.63x = 3,984.42 × 2,524.92
  4. Step 4: Simplify right side
    2,656.63x = 10,060,341.75
  5. Step 5: Solve for x
    x = 10,060,341.75/2,656.63
  6. Step 6: Final answer
    x = 3,786.88

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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.