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Finding the Fourth Proportional to 2,097.54, 3,145.77 and 943.02

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Solution

The fourth proportional to 2,097.54, 3,145.77 and 943.02 is: 1,414.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097.54 : 3,145.77 = 943.02 : x
  2. Step 2: Convert to fraction form
    2,097.54/3,145.77 = 943.02/x
  3. Step 3: Cross multiply
    2,097.54x = 3,145.77 × 943.02
  4. Step 4: Simplify right side
    2,097.54x = 2,966,524.03
  5. Step 5: Solve for x
    x = 2,966,524.03/2,097.54
  6. Step 6: Final answer
    x = 1,414.29

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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.