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Finding the Fourth Proportional to 2,821.69, 4,230.25 and 1,415.17

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Solution

The fourth proportional to 2,821.69, 4,230.25 and 1,415.17 is: 2,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.69 : 4,230.25 = 1,415.17 : x
  2. Step 2: Convert to fraction form
    2,821.69/4,230.25 = 1,415.17/x
  3. Step 3: Cross multiply
    2,821.69x = 4,230.25 × 1,415.17
  4. Step 4: Simplify right side
    2,821.69x = 5,986,528.62
  5. Step 5: Solve for x
    x = 5,986,528.62/2,821.69
  6. Step 6: Final answer
    x = 2,121.61

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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.