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Finding the Fourth Proportional to 3,112.89, 4,672.98 and 2,184.63

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Solution

The fourth proportional to 3,112.89, 4,672.98 and 2,184.63 is: 3,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.89 : 4,672.98 = 2,184.63 : x
  2. Step 2: Convert to fraction form
    3,112.89/4,672.98 = 2,184.63/x
  3. Step 3: Cross multiply
    3,112.89x = 4,672.98 × 2,184.63
  4. Step 4: Simplify right side
    3,112.89x = 10,208,732.30
  5. Step 5: Solve for x
    x = 10,208,732.30/3,112.89
  6. Step 6: Final answer
    x = 3,279.50

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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.