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Finding the Fourth Proportional to 3,406.69, 5,107.60 and 1,649.80

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Solution

The fourth proportional to 3,406.69, 5,107.60 and 1,649.80 is: 2,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.69 : 5,107.60 = 1,649.80 : x
  2. Step 2: Convert to fraction form
    3,406.69/5,107.60 = 1,649.80/x
  3. Step 3: Cross multiply
    3,406.69x = 5,107.60 × 1,649.80
  4. Step 4: Simplify right side
    3,406.69x = 8,426,518.48
  5. Step 5: Solve for x
    x = 8,426,518.48/3,406.69
  6. Step 6: Final answer
    x = 2,473.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.