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Finding the Fourth Proportional to 3,312, 4,969.17 and 1,462.88

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Solution

The fourth proportional to 3,312, 4,969.17 and 1,462.88 is: 2,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312 : 4,969.17 = 1,462.88 : x
  2. Step 2: Convert to fraction form
    3,312/4,969.17 = 1,462.88/x
  3. Step 3: Cross multiply
    3,312x = 4,969.17 × 1,462.88
  4. Step 4: Simplify right side
    3,312x = 7,269,274.56
  5. Step 5: Solve for x
    x = 7,269,274.56/3,312
  6. Step 6: Final answer
    x = 2,194.83

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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.