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Finding the Fourth Proportional to 2,150.94, 3,222.18 and 1,418.28

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Solution

The fourth proportional to 2,150.94, 3,222.18 and 1,418.28 is: 2,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.94 : 3,222.18 = 1,418.28 : x
  2. Step 2: Convert to fraction form
    2,150.94/3,222.18 = 1,418.28/x
  3. Step 3: Cross multiply
    2,150.94x = 3,222.18 × 1,418.28
  4. Step 4: Simplify right side
    2,150.94x = 4,569,953.45
  5. Step 5: Solve for x
    x = 4,569,953.45/2,150.94
  6. Step 6: Final answer
    x = 2,124.63

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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.