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Finding the Fourth Proportional to 1,882.69, 2,596.41 and 1,218.85

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Solution

The fourth proportional to 1,882.69, 2,596.41 and 1,218.85 is: 1,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.69 : 2,596.41 = 1,218.85 : x
  2. Step 2: Convert to fraction form
    1,882.69/2,596.41 = 1,218.85/x
  3. Step 3: Cross multiply
    1,882.69x = 2,596.41 × 1,218.85
  4. Step 4: Simplify right side
    1,882.69x = 3,164,634.33
  5. Step 5: Solve for x
    x = 3,164,634.33/1,882.69
  6. Step 6: Final answer
    x = 1,680.91

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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.