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Finding the Fourth Proportional to 3,442.94, 4,751.27 and 2,026.69

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Solution

The fourth proportional to 3,442.94, 4,751.27 and 2,026.69 is: 2,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,442.94 : 4,751.27 = 2,026.69 : x
  2. Step 2: Convert to fraction form
    3,442.94/4,751.27 = 2,026.69/x
  3. Step 3: Cross multiply
    3,442.94x = 4,751.27 × 2,026.69
  4. Step 4: Simplify right side
    3,442.94x = 9,629,348.38
  5. Step 5: Solve for x
    x = 9,629,348.38/3,442.94
  6. Step 6: Final answer
    x = 2,796.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.