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Finding the Fourth Proportional to 2,097.46, 3,146.14 and 537.44

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Solution

The fourth proportional to 2,097.46, 3,146.14 and 537.44 is: 806.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.46 : 3,146.14 = 537.44 : x
  2. Step 2: Convert to fraction form
    2,097.46/3,146.14 = 537.44/x
  3. Step 3: Cross multiply
    2,097.46x = 3,146.14 × 537.44
  4. Step 4: Simplify right side
    2,097.46x = 1,690,846.42
  5. Step 5: Solve for x
    x = 1,690,846.42/2,097.46
  6. Step 6: Final answer
    x = 806.14

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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.