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Finding the Fourth Proportional to 2,996.76, 4,494.90 and 2,029.08

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Solution

The fourth proportional to 2,996.76, 4,494.90 and 2,029.08 is: 3,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.76 : 4,494.90 = 2,029.08 : x
  2. Step 2: Convert to fraction form
    2,996.76/4,494.90 = 2,029.08/x
  3. Step 3: Cross multiply
    2,996.76x = 4,494.90 × 2,029.08
  4. Step 4: Simplify right side
    2,996.76x = 9,120,511.69
  5. Step 5: Solve for x
    x = 9,120,511.69/2,996.76
  6. Step 6: Final answer
    x = 3,043.46

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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.