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Finding the Fourth Proportional to 3,491.76, 4,819.02 and 2,094.50

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Solution

The fourth proportional to 3,491.76, 4,819.02 and 2,094.50 is: 2,890.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.76 : 4,819.02 = 2,094.50 : x
  2. Step 2: Convert to fraction form
    3,491.76/4,819.02 = 2,094.50/x
  3. Step 3: Cross multiply
    3,491.76x = 4,819.02 × 2,094.50
  4. Step 4: Simplify right side
    3,491.76x = 10,093,437.39
  5. Step 5: Solve for x
    x = 10,093,437.39/3,491.76
  6. Step 6: Final answer
    x = 2,890.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.