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Finding the Fourth Proportional to 2,286.69, 3,156.62 and 1,649.13

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Solution

The fourth proportional to 2,286.69, 3,156.62 and 1,649.13 is: 2,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.69 : 3,156.62 = 1,649.13 : x
  2. Step 2: Convert to fraction form
    2,286.69/3,156.62 = 1,649.13/x
  3. Step 3: Cross multiply
    2,286.69x = 3,156.62 × 1,649.13
  4. Step 4: Simplify right side
    2,286.69x = 5,205,668.49
  5. Step 5: Solve for x
    x = 5,205,668.49/2,286.69
  6. Step 6: Final answer
    x = 2,276.51

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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.