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Finding the Fourth Proportional to 3,512.76, 5,266.54 and 1,662.81

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Solution

The fourth proportional to 3,512.76, 5,266.54 and 1,662.81 is: 2,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.76 : 5,266.54 = 1,662.81 : x
  2. Step 2: Convert to fraction form
    3,512.76/5,266.54 = 1,662.81/x
  3. Step 3: Cross multiply
    3,512.76x = 5,266.54 × 1,662.81
  4. Step 4: Simplify right side
    3,512.76x = 8,757,255.38
  5. Step 5: Solve for x
    x = 8,757,255.38/3,512.76
  6. Step 6: Final answer
    x = 2,492.98

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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.