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Finding the Fourth Proportional to 3,097.86, 4,274.86 and 1,839.03

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Solution

The fourth proportional to 3,097.86, 4,274.86 and 1,839.03 is: 2,537.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.86 : 4,274.86 = 1,839.03 : x
  2. Step 2: Convert to fraction form
    3,097.86/4,274.86 = 1,839.03/x
  3. Step 3: Cross multiply
    3,097.86x = 4,274.86 × 1,839.03
  4. Step 4: Simplify right side
    3,097.86x = 7,861,595.79
  5. Step 5: Solve for x
    x = 7,861,595.79/3,097.86
  6. Step 6: Final answer
    x = 2,537.75

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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.