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Finding the Fourth Proportional to 3,369.40, 4,649.78 and 2,042.76

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Solution

The fourth proportional to 3,369.40, 4,649.78 and 2,042.76 is: 2,819.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.40 : 4,649.78 = 2,042.76 : x
  2. Step 2: Convert to fraction form
    3,369.40/4,649.78 = 2,042.76/x
  3. Step 3: Cross multiply
    3,369.40x = 4,649.78 × 2,042.76
  4. Step 4: Simplify right side
    3,369.40x = 9,498,384.59
  5. Step 5: Solve for x
    x = 9,498,384.59/3,369.40
  6. Step 6: Final answer
    x = 2,819.01

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