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Finding the Fourth Proportional to 3,097.62, 4,274.72 and 1,700.38

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Solution

The fourth proportional to 3,097.62, 4,274.72 and 1,700.38 is: 2,346.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.62 : 4,274.72 = 1,700.38 : x
  2. Step 2: Convert to fraction form
    3,097.62/4,274.72 = 1,700.38/x
  3. Step 3: Cross multiply
    3,097.62x = 4,274.72 × 1,700.38
  4. Step 4: Simplify right side
    3,097.62x = 7,268,648.39
  5. Step 5: Solve for x
    x = 7,268,648.39/3,097.62
  6. Step 6: Final answer
    x = 2,346.53

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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.