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Finding the Fourth Proportional to 2,158.09, 3,235.21 and 1,278.43

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Solution

The fourth proportional to 2,158.09, 3,235.21 and 1,278.43 is: 1,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.09 : 3,235.21 = 1,278.43 : x
  2. Step 2: Convert to fraction form
    2,158.09/3,235.21 = 1,278.43/x
  3. Step 3: Cross multiply
    2,158.09x = 3,235.21 × 1,278.43
  4. Step 4: Simplify right side
    2,158.09x = 4,135,989.52
  5. Step 5: Solve for x
    x = 4,135,989.52/2,158.09
  6. Step 6: Final answer
    x = 1,916.50

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Why These Related Problems?

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