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Finding the Fourth Proportional to 1,796, 2,689.68 and 1,425.44

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Solution

The fourth proportional to 1,796, 2,689.68 and 1,425.44 is: 2,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796 : 2,689.68 = 1,425.44 : x
  2. Step 2: Convert to fraction form
    1,796/2,689.68 = 1,425.44/x
  3. Step 3: Cross multiply
    1,796x = 2,689.68 × 1,425.44
  4. Step 4: Simplify right side
    1,796x = 3,833,977.46
  5. Step 5: Solve for x
    x = 3,833,977.46/1,796
  6. Step 6: Final answer
    x = 2,134.73

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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.