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Finding the Fourth Proportional to 2,795, 4,193.94 and 1,427

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Solution

The fourth proportional to 2,795, 4,193.94 and 1,427 is: 2,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795 : 4,193.94 = 1,427 : x
  2. Step 2: Convert to fraction form
    2,795/4,193.94 = 1,427/x
  3. Step 3: Cross multiply
    2,795x = 4,193.94 × 1,427
  4. Step 4: Simplify right side
    2,795x = 5,984,752.38
  5. Step 5: Solve for x
    x = 5,984,752.38/2,795
  6. Step 6: Final answer
    x = 2,141.24

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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.