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Finding the Fourth Proportional to 3,097.49, 4,274.62 and 1,753

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Solution

The fourth proportional to 3,097.49, 4,274.62 and 1,753 is: 2,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.49 : 4,274.62 = 1,753 : x
  2. Step 2: Convert to fraction form
    3,097.49/4,274.62 = 1,753/x
  3. Step 3: Cross multiply
    3,097.49x = 4,274.62 × 1,753
  4. Step 4: Simplify right side
    3,097.49x = 7,493,408.86
  5. Step 5: Solve for x
    x = 7,493,408.86/3,097.49
  6. Step 6: Final answer
    x = 2,419.19

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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.