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Finding the Fourth Proportional to 3,401.69, 4,696.09 and 2,643.78

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Solution

The fourth proportional to 3,401.69, 4,696.09 and 2,643.78 is: 3,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.69 : 4,696.09 = 2,643.78 : x
  2. Step 2: Convert to fraction form
    3,401.69/4,696.09 = 2,643.78/x
  3. Step 3: Cross multiply
    3,401.69x = 4,696.09 × 2,643.78
  4. Step 4: Simplify right side
    3,401.69x = 12,415,405.34
  5. Step 5: Solve for x
    x = 12,415,405.34/3,401.69
  6. Step 6: Final answer
    x = 3,649.78

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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.